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3253013520 = 2435293115077
BaseRepresentation
bin1100000111100101…
…0000110000010000
322101201010012122020
43001321100300100
523130232413040
61254443211440
7143420105301
oct30171206020
98351105566
103253013520
11141a272229
12769516b80
133cac40793
1422c0687a8
151408c0cd0
hexc1e50c10

3253013520 has 160 divisors (see below), whose sum is σ = 10769310720. Its totient is φ = 810485760.

The previous prime is 3253013509. The next prime is 3253013527. The reversal of 3253013520 is 253103523.

It is a happy number.

It is a super-2 number, since 2×32530135202 = 21164193922605580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3253013527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208222 + ... + 223298.

It is an arithmetic number, because the mean of its divisors is an integer number (67308192).

Almost surely, 23253013520 is an apocalyptic number.

3253013520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384655360).

3253013520 is an abundant number, since it is smaller than the sum of its proper divisors (7516297200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3253013520 is a wasteful number, since it uses less digits than its factorization.

3253013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153 (or 15147 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3253013520 is about 57035.1954498273. The cubic root of 3253013520 is about 1481.7057153964.

The spelling of 3253013520 in words is "three billion, two hundred fifty-three million, thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 31 40 48 58 60 62 80 87 93 116 120 124 145 155 174 186 232 240 248 290 310 348 372 435 464 465 496 580 620 696 744 870 899 930 1160 1240 1392 1488 1740 1798 1860 2320 2480 2697 3480 3596 3720 4495 5394 6960 7192 7440 8990 10788 13485 14384 15077 17980 21576 26970 30154 35960 43152 45231 53940 60308 71920 75385 90462 107880 120616 150770 180924 215760 226155 241232 301540 361848 437233 452310 467387 603080 723696 874466 904620 934774 1206160 1311699 1402161 1748932 1809240 1869548 2186165 2336935 2623398 2804322 3497864 3618480 3739096 4372330 4673870 5246796 5608644 6558495 6995728 7010805 7478192 8744660 9347740 10493592 11217288 13116990 13554223 14021610 17489320 18695480 20987184 22434576 26233980 27108446 28043220 34978640 37390960 40662669 52467960 54216892 56086440 67771115 81325338 104935920 108433784 112172880 135542230 162650676 203313345 216867568 271084460 325301352 406626690 542168920 650602704 813253380 1084337840 1626506760 3253013520