Search a number
-
+
1137924972 = 2232193075419
BaseRepresentation
bin100001111010011…
…0101101101101100
32221022012120121100
41003310311231230
54312302044342
6304525403100
740125126342
oct10364655554
92838176540
101137924972
11534368968
12279109490
1315199bbb2
14ab1b1992
1569d77e4c
hex43d35b6c

1137924972 has 72 divisors (see below), whose sum is σ = 3038235200. Its totient is φ = 358108128.

The previous prime is 1137924929. The next prime is 1137924989. The reversal of 1137924972 is 2794297311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207279 + ... + 212697.

Almost surely, 21137924972 is an apocalyptic number.

1137924972 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 1137924972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519117600).

1137924972 is an abundant number, since it is smaller than the sum of its proper divisors (1900310228).

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

1137924972 is a wasteful number, since it uses less digits than its factorization.

1137924972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5750 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 1137924972 is about 33733.1435238402. The cubic root of 1137924972 is about 1044.0097215812.

The spelling of 1137924972 in words is "one billion, one hundred thirty-seven million, nine hundred twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 307 342 614 684 921 1228 1842 2763 3684 5419 5526 5833 10838 11052 11666 16257 17499 21676 23332 32514 34998 48771 52497 65028 69996 97542 102961 104994 195084 205922 209988 308883 411844 617766 926649 1235532 1663633 1853298 3327266 3706596 4990899 6654532 9981798 14972697 19963596 29945394 31609027 59890788 63218054 94827081 126436108 189654162 284481243 379308324 568962486 1137924972