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132677328 = 24373831031
BaseRepresentation
bin1111110100001…
…11111011010000
3100020122201002010
413322013323100
5232431133303
621055422520
73200511240
oct772077320
9306581063
10132677328
1168990493
1238524a40
13216452c4
1413899b20
15b9abc03
hex7e87ed0

132677328 has 80 divisors (see below), whose sum is σ = 393117696. Its totient is φ = 37772160.

The previous prime is 132677309. The next prime is 132677329. The reversal of 132677328 is 823776231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132677329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128173 + ... + 129203.

Almost surely, 2132677328 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 132677328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196558848).

132677328 is an abundant number, since it is smaller than the sum of its proper divisors (260440368).

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

132677328 is a wasteful number, since it uses less digits than its factorization.

132677328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1426 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 132677328 is about 11518.5644938942. The cubic root of 132677328 is about 510.0337386369.

The spelling of 132677328 in words is "one hundred thirty-two million, six hundred seventy-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 383 766 1031 1149 1532 2062 2298 2681 3064 3093 4124 4596 5362 6128 6186 7217 8043 8248 9192 10724 12372 14434 16086 16496 18384 21448 21651 24744 28868 32172 42896 43302 49488 57736 64344 86604 115472 128688 173208 346416 394873 789746 1184619 1579492 2369238 2764111 3158984 4738476 5528222 6317968 8292333 9476952 11056444 16584666 18953904 22112888 33169332 44225776 66338664 132677328