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132098976 = 25321726981
BaseRepresentation
bin1111101111110…
…10101110100000
3100012120022201200
413313322232200
5232304131401
621035201200
73162552132
oct767725640
9305508650
10132098976
1168625a09
12382a6200
13214a1c99
1413789052
15b8e5686
hex7dfaba0

132098976 has 72 divisors (see below), whose sum is σ = 397768644. Its totient is φ = 41441280.

The previous prime is 132098951. The next prime is 132098987. The reversal of 132098976 is 679890231.

It can be written as a sum of positive squares in 2 ways, for example, as 131331600 + 767376 = 11460^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 8595 + ... + 18386.

Almost surely, 2132098976 is an apocalyptic number.

132098976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132098976 is an abundant number, since it is smaller than the sum of its proper divisors (265669668).

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

132098976 is a wasteful number, since it uses less digits than its factorization.

132098976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27014 (or 27003 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 132098976 is about 11493.4318634601. The cubic root of 132098976 is about 509.2915653976.

The spelling of 132098976 in words is "one hundred thirty-two million, ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 26981 53962 80943 107924 161886 215848 242829 323772 431696 458677 485658 647544 863392 917354 971316 1295088 1376031 1834708 1942632 2590176 2752062 3669416 3885264 4128093 5504124 7338832 7770528 8256186 11008248 14677664 16512372 22016496 33024744 44032992 66049488 132098976