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1125956790 = 2325721311949
BaseRepresentation
bin100001100011100…
…1011110010110110
32220110200112100100
41003013023302312
54301221104130
6303421054530
736621321600
oct10307136266
92813615310
101125956790
11528634002
122750b7446
1314c36b52a
14a9778170
1568cb1c60
hex431cbcb6

1125956790 has 144 divisors (see below), whose sum is σ = 3433201200. Its totient is φ = 255265920.

The previous prime is 1125956779. The next prime is 1125956807. The reversal of 1125956790 is 976595211.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 576736 + ... + 578684.

It is an arithmetic number, because the mean of its divisors is an integer number (23841675).

Almost surely, 21125956790 is an apocalyptic number.

1125956790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1125956790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716600600).

1125956790 is an abundant number, since it is smaller than the sum of its proper divisors (2307244410).

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

1125956790 is a wasteful number, since it uses less digits than its factorization.

1125956790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1125956790 is about 33555.2796143915. The cubic root of 1125956790 is about 1040.3366729272.

The spelling of 1125956790 in words is "one billion, one hundred twenty-five million, nine hundred fifty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 131 147 210 245 262 294 315 393 441 490 630 655 735 786 882 917 1179 1310 1470 1834 1949 1965 2205 2358 2751 3898 3930 4410 4585 5502 5847 5895 6419 8253 9170 9745 11694 11790 12838 13643 13755 16506 17541 19257 19490 27286 27510 29235 32095 35082 38514 40929 41265 57771 58470 64190 68215 81858 82530 87705 95501 96285 115542 122787 136430 175410 191002 192570 204645 245574 255319 286503 288855 409290 477505 510638 573006 577710 613935 765957 859509 955010 1227870 1276595 1432515 1531914 1719018 1787233 2297871 2553190 2865030 3574466 3829785 4297545 4595742 5361699 7659570 8595090 8936165 10723398 11489355 12510631 16085097 17872330 22978710 25021262 26808495 32170194 37531893 53616990 62553155 75063786 80425485 112595679 125106310 160850970 187659465 225191358 375318930 562978395 1125956790