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132246864 = 24331072861
BaseRepresentation
bin1111110000111…
…10110101010000
3100012211211121000
413320132311100
5232323344424
621042302000
73164036241
oct770366520
9305754530
10132246864
1168717032
1238357900
13215243a9
14137c6cc8
15b9243c9
hex7e1ed50

132246864 has 80 divisors (see below), whose sum is σ = 383279040. Its totient is φ = 43655040.

The previous prime is 132246847. The next prime is 132246871. The reversal of 132246864 is 468642231.

132246864 is a `hidden beast` number, since 132 + 2 + 468 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 44794 + ... + 47654.

It is an arithmetic number, because the mean of its divisors is an integer number (4790988).

Almost surely, 2132246864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132246864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191639520).

132246864 is an abundant number, since it is smaller than the sum of its proper divisors (251032176).

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

132246864 is a wasteful number, since it uses less digits than its factorization.

132246864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2973 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 132246864 is about 11499.8636513656. The cubic root of 132246864 is about 509.4815492617.

The spelling of 132246864 in words is "one hundred thirty-two million, two hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2861 2889 3852 5136 5722 5778 7704 8583 11444 11556 15408 17166 22888 23112 25749 34332 45776 46224 51498 68664 77247 102996 137328 154494 205992 306127 308988 411984 612254 617976 918381 1224508 1235952 1836762 2449016 2755143 3673524 4898032 5510286 7347048 8265429 11020572 14694096 16530858 22041144 33061716 44082288 66123432 132246864