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1155425920 = 27511414003
BaseRepresentation
bin100010011011110…
…0110011010000000
32222112010201101121
41010313212122000
54331242112140
6310352442024
740426646455
oct10467463200
92875121347
101155425920
11543231660
12282b49314
131554b899c
14ad64982c
156b68364a
hex44de6680

1155425920 has 128 divisors (see below), whose sum is σ = 3087564480. Its totient is φ = 409804800.

The previous prime is 1155425897. The next prime is 1155425939. The reversal of 1155425920 is 295245511.

It is a tau number, because it is divible by the number of its divisors (128).

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, 286639 + ... + 290641.

Almost surely, 21155425920 is an apocalyptic number.

1155425920 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 1155425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543782240).

1155425920 is an abundant number, since it is smaller than the sum of its proper divisors (1932138560).

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

1155425920 is a wasteful number, since it uses less digits than its factorization.

1155425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 1155425920 is about 33991.5565986614. The cubic root of 1155425920 is about 1049.3347017493.

The spelling of 1155425920 in words is "one billion, one hundred fifty-five million, four hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 320 328 352 410 440 451 640 656 704 820 880 902 1312 1408 1640 1760 1804 2255 2624 3280 3520 3608 4003 4510 5248 6560 7040 7216 8006 9020 13120 14432 16012 18040 20015 26240 28864 32024 36080 40030 44033 57728 64048 72160 80060 88066 128096 144320 160120 164123 176132 220165 256192 288640 320240 328246 352264 440330 512384 640480 656492 704528 820615 880660 1280960 1312984 1409056 1641230 1761320 1805353 2561920 2625968 2818112 3282460 3522640 3610706 5251936 5636224 6564920 7045280 7221412 9026765 10503872 13129840 14090560 14442824 18053530 21007744 26259680 28181120 28885648 36107060 52519360 57771296 72214120 105038720 115542592 144428240 231085184 288856480 577712960 1155425920