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1253300240 = 24531796397
BaseRepresentation
bin100101010110011…
…1101100000010000
310020100022020201102
41022230331200100
510031321101430
6324210323532
743025606363
oct11254754020
93210266642
101253300240
11593501025
122ab8895a8
1316c866a9a
14bc6460da
1575068345
hex4ab3d810

1253300240 has 80 divisors (see below), whose sum is σ = 3046471680. Its totient is φ = 478932480.

The previous prime is 1253300201. The next prime is 1253300263. The reversal of 1253300240 is 420033521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12533002402 = 3141522983168115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 192722 + ... + 199118.

It is an arithmetic number, because the mean of its divisors is an integer number (38080896).

Almost surely, 21253300240 is an apocalyptic number.

1253300240 is a gapful number since it is divisible by the number (10) 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 1253300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523235840).

1253300240 is an abundant number, since it is smaller than the sum of its proper divisors (1793171440).

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

1253300240 is a wasteful number, since it uses less digits than its factorization.

1253300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1253300240 is about 35401.9807355464. The cubic root of 1253300240 is about 1078.1645321246.

Adding to 1253300240 its reverse (420033521), we get a palindrome (1673333761).

The spelling of 1253300240 in words is "one billion, two hundred fifty-three million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 124 155 158 248 310 316 395 496 620 632 790 1240 1264 1580 2449 2480 3160 4898 6320 6397 9796 12245 12794 19592 24490 25588 31985 39184 48980 51176 63970 97960 102352 127940 195920 198307 255880 396614 505363 511760 793228 991535 1010726 1586456 1983070 2021452 2526815 3172912 3966140 4042904 5053630 7932280 8085808 10107260 15666253 15864560 20214520 31332506 40429040 62665012 78331265 125330024 156662530 250660048 313325060 626650120 1253300240