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120686664 = 23372293137
BaseRepresentation
bin1110011000110…
…00100001001000
322102002111222110
413030120201020
5221343433124
615550422320
72663551110
oct714304110
9272074873
10120686664
116214074a
12345019a0
131c007637
1412058040
15a8de029
hex7318848

120686664 has 64 divisors (see below), whose sum is σ = 346435200. Its totient is φ = 34320384.

The previous prime is 120686659. The next prime is 120686701. The reversal of 120686664 is 466686021.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 36904 + ... + 40040.

It is an arithmetic number, because the mean of its divisors is an integer number (5413050).

Almost surely, 2120686664 is an apocalyptic number.

120686664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120686664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173217600).

120686664 is an abundant number, since it is smaller than the sum of its proper divisors (225748536).

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

120686664 is a wasteful number, since it uses less digits than its factorization.

120686664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 120686664 is about 10985.7482221285. The cubic root of 120686664 is about 494.1814366292.

The spelling of 120686664 in words is "one hundred twenty million, six hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1374 1603 1832 2748 3137 3206 4809 5496 6274 6412 9411 9618 12548 12824 18822 19236 21959 25096 37644 38472 43918 65877 75288 87836 131754 175672 263508 527016 718373 1436746 2155119 2873492 4310238 5028611 5746984 8620476 10057222 15085833 17240952 20114444 30171666 40228888 60343332 120686664