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132177056 = 25113112113
BaseRepresentation
bin1111110000011…
…01110010100000
3100012201021211112
413320031302200
5232314131211
621041002452
73163325564
oct770156240
9305637745
10132177056
1168679640
1238323428
13214cb69b
14137a96a4
15b90d88b
hex7e0dca0

132177056 has 48 divisors (see below), whose sum is σ = 293061888. Its totient is φ = 58137600.

The previous prime is 132177049. The next prime is 132177077. The reversal of 132177056 is 650771231.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 4856 + ... + 16968.

It is an arithmetic number, because the mean of its divisors is an integer number (6105456).

Almost surely, 2132177056 is an apocalyptic number.

132177056 is a gapful number since it is divisible by the number (16) 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 132177056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146530944).

132177056 is an abundant number, since it is smaller than the sum of its proper divisors (160884832).

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

132177056 is a wasteful number, since it uses less digits than its factorization.

132177056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12165 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 132177056 is about 11496.8280843022. The cubic root of 132177056 is about 509.3918882880.

The spelling of 132177056 in words is "one hundred thirty-two million, one hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 12113 24226 48452 96904 133243 193808 266486 375503 387616 532972 751006 1065944 1502012 2131888 3004024 4130533 4263776 6008048 8261066 12016096 16522132 33044264 66088528 132177056