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1157909220 = 2232513598387
BaseRepresentation
bin100010100000100…
…0100101011100100
32222200210212211200
41011001010223210
54332411043340
6310522002500
740460031426
oct10501045344
92880725750
101157909220
11544678376
12283946430
13155b780b0
14adad4816
156b9c4330
hex45044ae4

1157909220 has 144 divisors (see below), whose sum is σ = 3847072320. Its totient is φ = 280159488.

The previous prime is 1157909197. The next prime is 1157909227. The reversal of 1157909220 is 229097511.

It is a super-2 number, since 2×11579092202 = 2681507523522016800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1157909227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 133867 + ... + 142253.

It is an arithmetic number, because the mean of its divisors is an integer number (26715780).

Almost surely, 21157909220 is an apocalyptic number.

1157909220 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 1157909220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923536160).

1157909220 is an abundant number, since it is smaller than the sum of its proper divisors (2689163100).

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

1157909220 is a wasteful number, since it uses less digits than its factorization.

1157909220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8474 (or 8469 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1157909220 is about 34028.0651815527. The cubic root of 1157909220 is about 1050.0859249411.

The spelling of 1157909220 in words is "one billion, one hundred fifty-seven million, nine hundred nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1062 1170 1180 1534 1770 2124 2301 2340 2655 3068 3540 3835 4602 5310 6903 7670 8387 9204 10620 11505 13806 15340 16774 23010 25161 27612 33548 34515 41935 46020 50322 69030 75483 83870 100644 109031 125805 138060 150966 167740 218062 251610 301932 327093 377415 436124 494833 503220 545155 654186 754830 981279 989666 1090310 1308372 1484499 1509660 1635465 1962558 1979332 2180620 2474165 2968998 3270930 3925116 4453497 4906395 4948330 5937996 6432829 6541860 7422495 8906994 9812790 9896660 12865658 14844990 17813988 19298487 19625580 22267485 25731316 29689980 32164145 38596974 44534970 57895461 64328290 77193948 89069940 96492435 115790922 128656580 192984870 231581844 289477305 385969740 578954610 1157909220