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132790784 = 29726779
BaseRepresentation
bin1111110101000…
…11101000000000
3100020212110201012
413322203220000
5232443301114
621102100052
73201463100
oct772435000
9306773635
10132790784
1168a58755
123857a628
1321684b39
14138c9200
15b9d063e
hex7ea3a00

132790784 has 120 divisors (see below), whose sum is σ = 317211840. Its totient is φ = 55351296.

The previous prime is 132790781. The next prime is 132790789. The reversal of 132790784 is 487097231.

It is not an unprimeable number, because it can be changed into a prime (132790781) 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, 1680857 + ... + 1680935.

It is an arithmetic number, because the mean of its divisors is an integer number (2643432).

Almost surely, 2132790784 is an apocalyptic number.

132790784 is a gapful number since it is divisible by the number (14) 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 132790784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158605920).

132790784 is an abundant number, since it is smaller than the sum of its proper divisors (184421056).

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

132790784 is an frugal number, since it uses more digits than its factorization.

132790784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 132790784 is about 11523.4883607352. The cubic root of 132790784 is about 510.1790784679.

The spelling of 132790784 in words is "one hundred thirty-two million, seven hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 67 79 98 112 128 134 158 196 224 256 268 316 392 448 469 512 536 553 632 784 896 938 1072 1106 1264 1568 1792 1876 2144 2212 2528 3136 3283 3584 3752 3871 4288 4424 5056 5293 6272 6566 7504 7742 8576 8848 10112 10586 12544 13132 15008 15484 17152 17696 20224 21172 25088 26264 30016 30968 34304 35392 37051 40448 42344 52528 60032 61936 70784 74102 84688 105056 120064 123872 141568 148204 169376 210112 240128 247744 259357 283136 296408 338752 420224 495488 518714 592816 677504 840448 990976 1037428 1185632 1355008 1680896 1981952 2074856 2371264 2710016 4149712 4742528 8299424 9485056 16598848 18970112 33197696 66395392 132790784