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132047064 = 23334713007
BaseRepresentation
bin1111101111011…
…10000011011000
3100012110200112000
413313232003120
5232301001224
621034121000
73162244602
oct767560330
9305420460
10132047064
116859aa06
1238280160
1321484476
1413774172
15b8d50c9
hex7dee0d8

132047064 has 64 divisors (see below), whose sum is σ = 374630400. Its totient is φ = 43075872.

The previous prime is 132047051. The next prime is 132047099. The reversal of 132047064 is 460740231.

132047064 is a `hidden beast` number, since 132 + 0 + 470 + 64 = 666.

It is a super-2 number, since 2×1320470642 = 34872854222040192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3649 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (5853600).

Almost surely, 2132047064 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 132047064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187315200).

132047064 is an abundant number, since it is smaller than the sum of its proper divisors (242583336).

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

132047064 is a wasteful number, since it uses less digits than its factorization.

132047064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 132047064 is about 11491.1733082397. The cubic root of 132047064 is about 509.2248431854.

Adding to 132047064 its reverse (460740231), we get a palindrome (592787295).

It can be divided in two parts, 1320 and 47064, that added together give a palindrome (48384).

The spelling of 132047064 in words is "one hundred thirty-two million, forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 13007 26014 39021 52028 78042 104056 117063 156084 234126 312168 351189 468252 611329 702378 936504 1222658 1404756 1833987 2445316 2809512 3667974 4890632 5501961 7335948 11003922 14671896 16505883 22007844 33011766 44015688 66023532 132047064