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1137919904 = 251137412131
BaseRepresentation
bin100001111010011…
…0100011110100000
32221022012022122122
41003310310132200
54312301414104
6304525323412
740125105512
oct10364643640
92838168578
101137919904
11534365080
12279106568
131519997b4
14ab1adbb2
1569d766be
hex43d347a0

1137919904 has 96 divisors (see below), whose sum is σ = 2572420032. Its totient is φ = 490752000.

The previous prime is 1137919859. The next prime is 1137919907. The reversal of 1137919904 is 4099197311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (1137919907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532919 + ... + 535049.

It is an arithmetic number, because the mean of its divisors is an integer number (26796042).

Almost surely, 21137919904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1137919904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286210016).

1137919904 is an abundant number, since it is smaller than the sum of its proper divisors (1434500128).

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

1137919904 is a wasteful number, since it uses less digits than its factorization.

1137919904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 44.

The square root of 1137919904 is about 33733.0684047568. The cubic root of 1137919904 is about 1044.0081716697.

The spelling of 1137919904 in words is "one billion, one hundred thirty-seven million, nine hundred nineteen thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 41 44 74 82 88 148 164 176 296 328 352 407 451 592 656 814 902 1184 1312 1517 1628 1804 2131 3034 3256 3608 4262 6068 6512 7216 8524 12136 13024 14432 16687 17048 23441 24272 33374 34096 46882 48544 66748 68192 78847 87371 93764 133496 157694 174742 187528 266992 315388 349484 375056 533984 630776 698968 750112 867317 961081 1261552 1397936 1734634 1922162 2523104 2795872 3232727 3469268 3844324 6465454 6938536 7688648 12930908 13877072 15377296 25861816 27754144 30754592 35559997 51723632 71119994 103447264 142239988 284479976 568959952 1137919904