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1130692032 = 263217115471
BaseRepresentation
bin100001101100100…
…1111110111000000
32220210121002212200
41003121033313000
54303424121112
6304110353200
740006503141
oct10331176700
92823532780
101130692032
11530278728
122767bb800
13150338952
14aa24bac8
15693e9cdc
hex4364fdc0

1130692032 has 84 divisors (see below), whose sum is σ = 3431596896. Its totient is φ = 354723840.

The previous prime is 1130692027. The next prime is 1130692039. The reversal of 1130692032 is 2302960311.

It is a junction number, because it is equal to n+sod(n) for n = 1130691987 and 1130692005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130692039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47944 + ... + 67527.

It is an arithmetic number, because the mean of its divisors is an integer number (40852344).

Almost surely, 21130692032 is an apocalyptic number.

1130692032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130692032 is an abundant number, since it is smaller than the sum of its proper divisors (2300904864).

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

1130692032 is a wasteful number, since it uses less digits than its factorization.

1130692032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115506 (or 115493 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1130692032 is about 33625.7644076681. The cubic root of 1130692032 is about 1041.7930213473.

The spelling of 1130692032 in words is "one billion, one hundred thirty million, six hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 115471 230942 346413 461884 692826 923768 1039239 1385652 1847536 1963007 2078478 2771304 3695072 3926014 4156956 5542608 5889021 7390144 7852028 8313912 11085216 11778042 15704056 16627824 17667063 22170432 23556084 31408112 33255648 35334126 47112168 62816224 66511296 70668252 94224336 125632448 141336504 188448672 282673008 376897344 565346016 1130692032