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1157904612 = 2233171921747
BaseRepresentation
bin100010100000100…
…0011100011100100
32222200210122112000
41011001003203210
54332410421422
6310521525300
740460012124
oct10501034344
92880718460
101157904612
11544674967
12283943830
13155b75c77
14adad2c84
156b9c2cac
hex450438e4

1157904612 has 144 divisors (see below), whose sum is σ = 3356579520. Its totient is φ = 343948032.

The previous prime is 1157904607. The next prime is 1157904613. The reversal of 1157904612 is 2164097511.

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 (1157904613) 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, 661923 + ... + 663669.

It is an arithmetic number, because the mean of its divisors is an integer number (23309580).

Almost surely, 21157904612 is an apocalyptic number.

1157904612 is a gapful number since it is divisible by the number (12) 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 1157904612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678289760).

1157904612 is an abundant number, since it is smaller than the sum of its proper divisors (2198674908).

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

1157904612 is a wasteful number, since it uses less digits than its factorization.

1157904612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1157904612 is about 34027.9974726695. The cubic root of 1157904612 is about 1050.0845319699.

The spelling of 1157904612 in words is "one billion, one hundred fifty-seven million, nine hundred four thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 361 459 513 612 646 684 722 918 969 1026 1083 1292 1444 1747 1836 1938 2052 2166 2907 3249 3494 3876 4332 5241 5814 6137 6498 6988 8721 9747 10482 11628 12274 12996 15723 17442 18411 19494 20964 24548 29699 31446 33193 34884 36822 38988 47169 55233 59398 62892 66386 73644 89097 94338 99579 110466 118796 132772 165699 178194 188676 199158 220932 267291 298737 331398 356388 398316 534582 564281 597474 630667 662796 801873 896211 1069164 1128562 1194948 1261334 1603746 1692843 1792422 1892001 2257124 2522668 3207492 3385686 3584844 3784002 5078529 5676003 6771372 7568004 10157058 10721339 11352006 15235587 17028009 20314116 21442678 22704012 30471174 32164017 34056018 42885356 60942348 64328034 68112036 96492051 128656068 192984102 289476153 385968204 578952306 1157904612