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132791280 = 24351075171
BaseRepresentation
bin1111110101000…
…11101111110000
3100020212111101120
413322203233300
5232443310110
621102102240
73201464406
oct772435760
9306774346
10132791280
1168a59066
123857a980
132168512b
14138c9476
15b9d0870
hex7ea3bf0

132791280 has 80 divisors (see below), whose sum is σ = 415580544. Its totient is φ = 35073280.

The previous prime is 132791279. The next prime is 132791291. The reversal of 132791280 is 82197231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23095 + ... + 28265.

Almost surely, 2132791280 is an apocalyptic number.

132791280 is a gapful number since it is divisible by the number (10) 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 132791280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207790272).

132791280 is an abundant number, since it is smaller than the sum of its proper divisors (282789264).

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

132791280 is a wasteful number, since it uses less digits than its factorization.

132791280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 132791280 is about 11523.5098819761. The cubic root of 132791280 is about 510.1797136739.

The spelling of 132791280 in words is "one hundred thirty-two million, seven hundred ninety-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 5171 6420 8560 10342 12840 15513 20684 25680 25855 31026 41368 51710 62052 77565 82736 103420 124104 155130 206840 248208 310260 413680 553297 620520 1106594 1241040 1659891 2213188 2766485 3319782 4426376 5532970 6639564 8299455 8852752 11065940 13279128 16598910 22131880 26558256 33197820 44263760 66395640 132791280