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30135520 = 2551923431
BaseRepresentation
bin111001011110…
…1010011100000
32002201001011101
41302331103200
530203314040
62553524144
7514101442
oct162752340
962631141
1030135520
1116013298
12a113654
13632188c
144006492
1529a409a
hex1cbd4e0

30135520 has 96 divisors (see below), whose sum is σ = 78382080. Its totient is φ = 10897920.

The previous prime is 30135517. The next prime is 30135559. The reversal of 30135520 is 2553103.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69705 + ... + 70135.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 230135520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

30135520 is an abundant number, since it is smaller than the sum of its proper divisors (48246560).

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

30135520 is a wasteful number, since it uses less digits than its factorization.

30135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 30135520 is about 5489.5828621126. The cubic root of 30135520 is about 311.1904280004.

Adding to 30135520 its reverse (2553103), we get a palindrome (32688623).

The spelling of 30135520 in words is "thirty million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 431 437 460 608 736 760 862 874 920 1520 1724 1748 1840 2155 2185 3040 3448 3496 3680 4310 4370 6896 6992 8189 8620 8740 9913 13792 13984 16378 17240 17480 19826 32756 34480 34960 39652 40945 49565 65512 68960 69920 79304 81890 99130 131024 158608 163780 188347 198260 262048 317216 327560 376694 396520 655120 753388 793040 941735 1310240 1506776 1586080 1883470 3013552 3766940 6027104 7533880 15067760 30135520