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38120664 = 23317233401
BaseRepresentation
bin1001000101101…
…0110011011000
32122201201201110
42101122303120
534224330124
63441020320
7642006651
oct221326330
978651643
1038120664
111a57768a
12109246a0
137b8930a
1450c4528
153530029
hex245acd8

38120664 has 64 divisors (see below), whose sum is σ = 101593440. Its totient is φ = 11878400.

The previous prime is 38120653. The next prime is 38120671. The reversal of 38120664 is 46602183.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 94864 + ... + 95264.

Almost surely, 238120664 is an apocalyptic number.

38120664 is a gapful number since it is divisible by the number (34) 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 38120664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50796720).

38120664 is an abundant number, since it is smaller than the sum of its proper divisors (63472776).

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

38120664 is a wasteful number, since it uses less digits than its factorization.

38120664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38120664 is about 6174.1933886136. The cubic root of 38120664 is about 336.5530150423.

The spelling of 38120664 in words is "thirty-eight million, one hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 233 401 408 466 699 802 932 1203 1398 1604 1864 2406 2796 3208 3961 4812 5592 6817 7922 9624 11883 13634 15844 20451 23766 27268 31688 40902 47532 54536 81804 93433 95064 163608 186866 280299 373732 560598 747464 1121196 1588361 2242392 3176722 4765083 6353444 9530166 12706888 19060332 38120664