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132278832 = 2434722083
BaseRepresentation
bin1111110001001…
…10101000110000
3100012220110110000
413320212220300
5232330410312
621043110000
73164231400
oct770465060
9305813400
10132278832
1168739054
1238372300
1321535aca
14137d4800
15b92dadc
hex7e26a30

132278832 has 150 divisors (see below), whose sum is σ = 445573788. Its totient is φ = 37775808.

The previous prime is 132278827. The next prime is 132278849. The reversal of 132278832 is 238872231.

132278832 = T143 + T144 + ... + T926.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 29 ways as a sum of consecutive naturals, for example, 62463 + ... + 64545.

Almost surely, 2132278832 is an apocalyptic number.

132278832 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 132278832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222786894).

132278832 is an abundant number, since it is smaller than the sum of its proper divisors (313294956).

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

132278832 is a wasteful number, since it uses less digits than its factorization.

132278832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2095 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 132278832 is about 11501.2534969020. The cubic root of 132278832 is about 509.5225982350.

The spelling of 132278832 in words is "one hundred thirty-two million, two hundred seventy-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2083 2268 2352 2646 3024 3528 3969 4166 4536 5292 6249 7056 7938 8332 9072 10584 12498 14581 15876 16664 18747 21168 24996 29162 31752 33328 37494 43743 49992 56241 58324 63504 74988 87486 99984 102067 112482 116648 131229 149976 168723 174972 204134 224964 233296 262458 299952 306201 337446 349944 393687 408268 449928 524916 612402 674892 699888 787374 816536 899856 918603 1049832 1181061 1224804 1349784 1574748 1633072 1837206 2099664 2362122 2449608 2699568 2755809 3149496 3674412 4724244 4899216 5511618 6298992 7348824 8267427 9448488 11023236 14697648 16534854 18896976 22046472 33069708 44092944 66139416 132278832