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1137022992 = 243275321283
BaseRepresentation
bin100001111000101…
…1001100000010000
32221020111202022200
41003301121200100
54312034213432
6304454203200
740114351560
oct10361314020
92836452280
101137022992
11533902226
12278953500
13151744491
14ab018da0
1569c4aa7c
hex43c59810

1137022992 has 120 divisors (see below), whose sum is σ = 3705459264. Its totient is φ = 318719232.

The previous prime is 1137022969. The next prime is 1137023021. The reversal of 1137022992 is 2992207311.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42783 + ... + 64065.

Almost surely, 21137022992 is an apocalyptic number.

1137022992 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 1137022992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852729632).

1137022992 is an abundant number, since it is smaller than the sum of its proper divisors (2568436272).

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

1137022992 is a wasteful number, since it uses less digits than its factorization.

1137022992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21357 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1137022992 is about 33719.7715294751. The cubic root of 1137022992 is about 1043.7338027439.

The spelling of 1137022992 in words is "one billion, one hundred thirty-seven million, twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2968 3339 3816 4452 5936 6678 7632 8904 13356 17808 21283 26712 42566 53424 63849 85132 127698 148981 170264 191547 255396 297962 340528 383094 446943 510792 595924 766188 893886 1021584 1127999 1191848 1340829 1532376 1787772 2255998 2383696 2681658 3064752 3383997 3575544 4511996 5363316 6767994 7151088 7895993 9023992 10151991 10726632 13535988 15791986 18047984 20303982 21453264 23687979 27071976 31583972 40607964 47375958 54143952 63167944 71063937 81215928 94751916 126335888 142127874 162431856 189503832 284255748 379007664 568511496 1137022992