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1157287860 = 2232553121309
BaseRepresentation
bin100010011111010…
…1100111110110100
32222122122022111100
41010332230332310
54332231202420
6310500410100
740451533041
oct10476547664
92878568440
101157287860
11544293553
122836a6930
131559bb321
14ad9b21c8
156b900190
hex44facfb4

1157287860 has 72 divisors (see below), whose sum is σ = 3576704040. Its totient is φ = 302784768.

The previous prime is 1157287823. The next prime is 1157287867. The reversal of 1157287860 is 687827511.

It is a happy number.

1157287860 is a `hidden beast` number, since 1 + 1 + 572 + 8 + 78 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 529184016 + 628103844 = 23004^2 + 25062^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157287867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51115 + ... + 70194.

It is an arithmetic number, because the mean of its divisors is an integer number (49676445).

Almost surely, 21157287860 is an apocalyptic number.

1157287860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157287860 is an abundant number, since it is smaller than the sum of its proper divisors (2419416180).

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

1157287860 is a wasteful number, since it uses less digits than its factorization.

1157287860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121377 (or 121372 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1157287860 is about 34018.9338457277. The cubic root of 1157287860 is about 1049.8980581303.

The spelling of 1157287860 in words is "one billion, one hundred fifty-seven million, two hundred eighty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 121309 242618 363927 485236 606545 727854 1091781 1213090 1455708 1819635 2183562 2426180 3639270 4367124 5458905 6429377 7278540 10917810 12858754 19288131 21835620 25717508 32146885 38576262 57864393 64293770 77152524 96440655 115728786 128587540 192881310 231457572 289321965 385762620 578643930 1157287860