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1253058912 = 253272921433
BaseRepresentation
bin100101010110000…
…0010100101100000
310020022211222200100
41022230002211200
510031240341122
6324201222400
743023552660
oct11254024540
93208758610
101253058912
11593356786
122ab791a00
1316c7b0ca1
14bc5c21a0
157501baac
hex4ab02960

1253058912 has 144 divisors (see below), whose sum is σ = 4213067040. Its totient is φ = 345655296.

The previous prime is 1253058887. The next prime is 1253058923. The reversal of 1253058912 is 2198503521.

1253058912 is a `hidden beast` number, since 12 + 53 + 0 + 589 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 47748 + ... + 69180.

It is an arithmetic number, because the mean of its divisors is an integer number (29257410).

Almost surely, 21253058912 is an apocalyptic number.

1253058912 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 1253058912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106533520).

1253058912 is an abundant number, since it is smaller than the sum of its proper divisors (2960008128).

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

1253058912 is a wasteful number, since it uses less digits than its factorization.

1253058912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21485 (or 21474 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1253058912 is about 35398.5721745948. The cubic root of 1253058912 is about 1078.0953260440.

The spelling of 1253058912 in words is "one billion, two hundred fifty-three million, fifty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 21433 29232 42866 58464 64299 85732 128598 150031 171464 192897 257196 300062 342928 385794 450093 514392 600124 621557 685856 771588 900186 1028784 1200248 1243114 1350279 1543176 1800372 1864671 2057568 2400496 2486228 2700558 3086352 3600744 3729342 4350899 4800992 4972456 5401116 5594013 6172704 7201488 7458684 8701798 9944912 10802232 11188026 13052697 14402976 14917368 17403596 19889824 21604464 22376052 26105394 29834736 34807192 39158091 43208928 44752104 52210788 59669472 69614384 78316182 89504208 104421576 139228768 156632364 179008416 208843152 313264728 417686304 626529456 1253058912