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132296904 = 23323753937
BaseRepresentation
bin1111110001010…
…11000011001000
3100012221101020100
413320223003020
5232332000104
621043325400
73164335155
oct770530310
9305841210
10132296904
1168750693
1238380860
13215410bc
14137db22c
15b934139
hex7e2b0c8

132296904 has 96 divisors (see below), whose sum is σ = 375331320. Its totient is φ = 42052608.

The previous prime is 132296891. The next prime is 132296917. The reversal of 132296904 is 409692231.

It is an interprime number because it is at equal distance from previous prime (132296891) and next prime (132296917).

It can be written as a sum of positive squares in 4 ways, for example, as 118592100 + 13704804 = 10890^2 + 3702^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140724 + ... + 141660.

Almost surely, 2132296904 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 132296904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187665660).

132296904 is an abundant number, since it is smaller than the sum of its proper divisors (243034416).

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

132296904 is a wasteful number, since it uses less digits than its factorization.

132296904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 132296904 is about 11502.0391235641. The cubic root of 132296904 is about 509.5458009222.

The spelling of 132296904 in words is "one hundred thirty-two million, two hundred ninety-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 937 954 1272 1332 1874 1908 1961 2664 2811 3748 3816 3922 5622 5883 7496 7844 8433 11244 11766 15688 16866 17649 22488 23532 33732 34669 35298 47064 49661 67464 69338 70596 99322 104007 138676 141192 148983 198644 208014 277352 297966 312021 397288 416028 446949 595932 624042 832056 893898 1191864 1248084 1787796 1837457 2496168 3575592 3674914 5512371 7349828 11024742 14699656 16537113 22049484 33074226 44098968 66148452 132296904