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132110664 = 23372112339
BaseRepresentation
bin1111101111111…
…01100101001000
3100012120220202120
413313331211020
5232310020124
621035331240
73162631200
oct767754510
9305526676
10132110664
1168633774
12382b0b20
13214a73ba
141378d400
15b8e8d79
hex7dfd948

132110664 has 48 divisors (see below), whose sum is σ = 384202800. Its totient is φ = 37745568.

The previous prime is 132110659. The next prime is 132110669. The reversal of 132110664 is 466011231.

It is an interprime number because it is at equal distance from previous prime (132110659) and next prime (132110669).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132110669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54994 + ... + 57345.

It is an arithmetic number, because the mean of its divisors is an integer number (8004225).

Almost surely, 2132110664 is an apocalyptic number.

132110664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132110664 is an abundant number, since it is smaller than the sum of its proper divisors (252092136).

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

132110664 is a wasteful number, since it uses less digits than its factorization.

132110664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112362 (or 112351 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 132110664 is about 11493.9403165320. The cubic root of 132110664 is about 509.3065855097.

Adding to 132110664 its reverse (466011231), we get a palindrome (598121895).

The spelling of 132110664 in words is "one hundred thirty-two million, one hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 112339 224678 337017 449356 674034 786373 898712 1348068 1572746 2359119 2696136 3145492 4718238 5504611 6290984 9436476 11009222 16513833 18872952 22018444 33027666 44036888 66055332 132110664