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132671088 = 24331127919
BaseRepresentation
bin1111110100001…
…10011001110000
3100020122101112000
413322012121300
5232430433323
621055334000
73200454114
oct772063160
9306571460
10132671088
1168986830
1238521300
1321642504
1413897744
15b9a9e43
hex7e86670

132671088 has 80 divisors (see below), whose sum is σ = 415449600. Its totient is φ = 40201920.

The previous prime is 132671081. The next prime is 132671093. The reversal of 132671088 is 880176231.

It is a super-2 number, since 2×1326710882 = 35203235182207488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132671081) 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, 9208 + ... + 18711.

It is an arithmetic number, because the mean of its divisors is an integer number (5193120).

Almost surely, 2132671088 is an apocalyptic number.

132671088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132671088 is an abundant number, since it is smaller than the sum of its proper divisors (282778512).

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

132671088 is a wasteful number, since it uses less digits than its factorization.

132671088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27947 (or 27935 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 132671088 is about 11518.2936236232. The cubic root of 132671088 is about 510.0257426452.

The spelling of 132671088 in words is "one hundred thirty-two million, six hundred seventy-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 27919 55838 83757 111676 167514 223352 251271 307109 335028 446704 502542 614218 670056 753813 921327 1005084 1228436 1340112 1507626 1842654 2010168 2456872 2763981 3015252 3685308 4020336 4913744 5527962 6030504 7370616 8291943 11055924 12061008 14741232 16583886 22111848 33167772 44223696 66335544 132671088