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132101664 = 2533144389
BaseRepresentation
bin1111101111110…
…11011000100000
3100012120110102020
413313323120200
5232304223124
621035221440
73162563022
oct767733040
9305513366
10132101664
1168627a32
12382a7880
13214a3286
141378a012
15b8e6379
hex7dfb620

132101664 has 48 divisors (see below), whose sum is σ = 357960960. Its totient is φ = 42612480.

The previous prime is 132101659. The next prime is 132101693. The reversal of 132101664 is 466101231.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19219 + ... + 25170.

It is an arithmetic number, because the mean of its divisors is an integer number (7457520).

Almost surely, 2132101664 is an apocalyptic number.

It is an amenable number.

132101664 is an abundant number, since it is smaller than the sum of its proper divisors (225859296).

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

132101664 is a wasteful number, since it uses less digits than its factorization.

132101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44433 (or 44425 counting only the distinct ones).

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

The square root of 132101664 is about 11493.5487992178. The cubic root of 132101664 is about 509.2950197934.

Adding to 132101664 its reverse (466101231), we get a palindrome (598202895).

The spelling of 132101664 in words is "one hundred thirty-two million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 44389 88778 133167 177556 266334 355112 532668 710224 1065336 1376059 1420448 2130672 2752118 4128177 4261344 5504236 8256354 11008472 16512708 22016944 33025416 44033888 66050832 132101664