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120404664 = 23331134933
BaseRepresentation
bin1110010110100…
…11101010111000
322101120012011000
413023103222320
5221310422124
615540405000
72661265002
oct713235270
9271505130
10120404664
1161a68896
12343a6760
131bc39183
1411dc3372
15a8856c9
hex72d3ab8

120404664 has 64 divisors (see below), whose sum is σ = 337485600. Its totient is φ = 39771648.

The previous prime is 120404657. The next prime is 120404671. The reversal of 120404664 is 466404021.

It is an interprime number because it is at equal distance from previous prime (120404657) and next prime (120404671).

It is a super-2 number, since 2×1204046642 = 28994566225905792, which contains 22 as substring.

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, 21942 + ... + 26874.

Almost surely, 2120404664 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 120404664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168742800).

120404664 is an abundant number, since it is smaller than the sum of its proper divisors (217080936).

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

120404664 is a wasteful number, since it uses less digits than its factorization.

120404664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 120404664 is about 10972.9059050007. The cubic root of 120404664 is about 493.7962301636.

Adding to 120404664 its reverse (466404021), we get a palindrome (586808685).

The spelling of 120404664 in words is "one hundred twenty million, four hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 3051 4068 4933 6102 8136 9866 12204 14799 19732 24408 29598 39464 44397 59196 88794 118392 133191 177588 266382 355176 532764 557429 1065528 1114858 1672287 2229716 3344574 4459432 5016861 6689148 10033722 13378296 15050583 20067444 30101166 40134888 60202332 120404664