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132651640 = 235111032927
BaseRepresentation
bin1111110100000…
…01101001111000
3100020121101211201
413322001221320
5232424323030
621055103544
73200343322
oct772015170
9306541751
10132651640
1168973160
1238511bb4
13216366c4
1413890612
15b9a42ca
hex7e81a78

132651640 has 64 divisors (see below), whose sum is σ = 328872960. Its totient is φ = 47752320.

The previous prime is 132651613. The next prime is 132651653. The reversal of 132651640 is 46156231.

It is a junction number, because it is equal to n+sod(n) for n = 132651599 and 132651608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43857 + ... + 46783.

It is an arithmetic number, because the mean of its divisors is an integer number (5138640).

Almost surely, 2132651640 is an apocalyptic number.

132651640 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 132651640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164436480).

132651640 is an abundant number, since it is smaller than the sum of its proper divisors (196221320).

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

132651640 is a wasteful number, since it uses less digits than its factorization.

132651640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 132651640 is about 11517.4493704118. The cubic root of 132651640 is about 510.0008201960. Note that the first 3 decimals are identical.

The spelling of 132651640 in words is "one hundred thirty-two million, six hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 2927 4120 4532 5665 5854 9064 11330 11708 14635 22660 23416 29270 32197 45320 58540 64394 117080 128788 160985 257576 301481 321970 602962 643940 1205924 1287880 1507405 2411848 3014810 3316291 6029620 6632582 12059240 13265164 16581455 26530328 33162910 66325820 132651640