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132256040 = 23571912473
BaseRepresentation
bin1111110001000…
…01000100101000
3100012212022011212
413320201010220
5232324143130
621042412252
73164105060
oct770410450
9305768155
10132256040
1168722a14
1238361088
1321528617
14137ca3a0
15b926e95
hex7e21128

132256040 has 64 divisors (see below), whose sum is σ = 342005760. Its totient is φ = 45089280.

The previous prime is 132256027. The next prime is 132256043. The reversal of 132256040 is 40652231.

It is a junction number, because it is equal to n+sod(n) for n = 132255997 and 132256015.

It is not an unprimeable number, because it can be changed into a prime (132256043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52244 + ... + 54716.

It is an arithmetic number, because the mean of its divisors is an integer number (5343840).

Almost surely, 2132256040 is an apocalyptic number.

132256040 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 132256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171002880).

132256040 is an abundant number, since it is smaller than the sum of its proper divisors (209749720).

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

132256040 is a wasteful number, since it uses less digits than its factorization.

132256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 132256040 is about 11500.2626056973. The cubic root of 132256040 is about 509.4933325142.

The spelling of 132256040 in words is "one hundred thirty-two million, two hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 955 1337 1528 1910 2473 2674 3820 4946 5348 6685 7640 9892 10696 12365 13370 17311 19784 24730 26740 34622 49460 53480 69244 86555 98920 138488 173110 346220 472343 692440 944686 1889372 2361715 3306401 3778744 4723430 6612802 9446860 13225604 16532005 18893720 26451208 33064010 66128020 132256040