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1253130912 = 25341143951
BaseRepresentation
bin100101010110001…
…0100001010100000
310020022222122110000
41022230110022200
510031300142122
6324202540000
743024302615
oct11254241240
93208878400
101253130912
115933a5890
122ab807600
1316c8079a7
14bc60050c
15750330ac
hex4ab142a0

1253130912 has 120 divisors (see below), whose sum is σ = 4020553152. Its totient is φ = 379728000.

The previous prime is 1253130889. The next prime is 1253130953. The reversal of 1253130912 is 2190313521.

1253130912 is a `hidden beast` number, since 12 + 531 + 30 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6537 + ... + 50487.

Almost surely, 21253130912 is an apocalyptic number.

1253130912 is a gapful number since it is divisible by the number (12) 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 1253130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010276576).

1253130912 is an abundant number, since it is smaller than the sum of its proper divisors (2767422240).

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

1253130912 is a wasteful number, since it uses less digits than its factorization.

1253130912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43984 (or 43967 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1253130912 is about 35399.5891501582. The cubic root of 1253130912 is about 1078.1159745483.

The spelling of 1253130912 in words is "one billion, two hundred fifty-three million, one hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 43951 87902 131853 175804 263706 351608 395559 483461 527412 703216 791118 966922 1054824 1186677 1406432 1450383 1582236 1933844 2109648 2373354 2900766 3164472 3560031 3867688 4219296 4351149 4746708 5801532 6328944 7120062 7735376 8702298 9493416 11603064 12657888 13053447 14240124 15470752 17404596 18986832 23206128 26106894 28480248 34809192 37973664 39160341 46412256 52213788 56960496 69618384 78320682 104427576 113920992 139236768 156641364 208855152 313282728 417710304 626565456 1253130912