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1252651380 = 2235194392503
BaseRepresentation
bin100101010101001…
…1111000101110100
310020022002021122120
41022222133011310
510031134321010
6324144355540
743020234561
oct11252370564
93208067576
101252651380
115930a8582
122ab615bb0
1316c69a646
14bc517868
1574e8ae70
hex4aa9f174

1252651380 has 96 divisors (see below), whose sum is σ = 3701913600. Its totient is φ = 315612288.

The previous prime is 1252651357. The next prime is 1252651403. The reversal of 1252651380 is 831562521.

It is an interprime number because it is at equal distance from previous prime (1252651357) and next prime (1252651403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499209 + ... + 501711.

It is an arithmetic number, because the mean of its divisors is an integer number (38561600).

Almost surely, 21252651380 is an apocalyptic number.

1252651380 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 1252651380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850956800).

1252651380 is an abundant number, since it is smaller than the sum of its proper divisors (2449262220).

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

1252651380 is a wasteful number, since it uses less digits than its factorization.

1252651380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1252651380 is about 35392.8153726148. The cubic root of 1252651380 is about 1077.9784371573.

The spelling of 1252651380 in words is "one billion, two hundred fifty-two million, six hundred fifty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 439 570 878 1140 1317 1756 2195 2503 2634 4390 5006 5268 6585 7509 8341 8780 10012 12515 13170 15018 16682 25023 25030 26340 30036 33364 37545 41705 47557 50046 50060 75090 83410 95114 100092 125115 142671 150180 166820 190228 237785 250230 285342 475570 500460 570684 713355 951140 1098817 1426710 2197634 2853420 3296451 4395268 5494085 6592902 10988170 13185804 16482255 20877523 21976340 32964510 41755046 62632569 65929020 83510092 104387615 125265138 208775230 250530276 313162845 417550460 626325690 1252651380