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1137534640 = 245111292653
BaseRepresentation
bin100001111001101…
…0110011010110000
32221021110202011121
41003303112122300
54312202102030
6304513152024
740121612344
oct10363263260
92837422147
101137534640
11534121680
12278b5b614
13151893328
14ab10d624
1569cec47a
hex43cd66b0

1137534640 has 40 divisors (see below), whose sum is σ = 2885203728. Its totient is φ = 413648640.

The previous prime is 1137534613. The next prime is 1137534641. The reversal of 1137534640 is 464357311.

1137534640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1137534596 and 1137534605.

It is not an unprimeable number, because it can be changed into a prime (1137534641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645447 + ... + 647206.

Almost surely, 21137534640 is an apocalyptic number.

1137534640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137534640 is an abundant number, since it is smaller than the sum of its proper divisors (1747669088).

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

1137534640 is a wasteful number, since it uses less digits than its factorization.

1137534640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292677 (or 1292671 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 1137534640 is about 33727.3574416971. The cubic root of 1137534640 is about 1043.8903355595.

The spelling of 1137534640 in words is "one billion, one hundred thirty-seven million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1292653 2585306 5170612 6463265 10341224 12926530 14219183 20682448 25853060 28438366 51706120 56876732 71095915 103412240 113753464 142191830 227506928 284383660 568767320 1137534640