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132852384 = 2532765899
BaseRepresentation
bin1111110101100…
…10101010100000
3100020222121012200
413322302222200
5233002234014
621103253200
73202140510
oct772625240
9306877180
10132852384
1168a9aa65
12385aa200
13216a6ba2
1413903840
15b9e3a09
hex7eb2aa0

132852384 has 72 divisors (see below), whose sum is σ = 431776800. Its totient is φ = 37957248.

The previous prime is 132852337. The next prime is 132852403. The reversal of 132852384 is 483258231.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30934 + ... + 34965.

It is an arithmetic number, because the mean of its divisors is an integer number (5996900).

Almost surely, 2132852384 is an apocalyptic number.

132852384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132852384 is an abundant number, since it is smaller than the sum of its proper divisors (298924416).

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

132852384 is a wasteful number, since it uses less digits than its factorization.

132852384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65922 (or 65911 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 132852384 is about 11526.1608525996. The cubic root of 132852384 is about 510.2579548578.

The spelling of 132852384 in words is "one hundred thirty-two million, eight hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 65899 131798 197697 263596 395394 461293 527192 593091 790788 922586 1054384 1186182 1383879 1581576 1845172 2108768 2372364 2767758 3163152 3690344 4151637 4744728 5535516 6326304 7380688 8303274 9489456 11071032 14761376 16606548 18978912 22142064 33213096 44284128 66426192 132852384