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38013960 = 2335316783
BaseRepresentation
bin1001000100000…
…0110000001000
32122112022100110
42101000300020
534212421320
63434434320
7641053605
oct221006010
978468313
1038013960
111a5044a6
12108929a0
137b4c88a
1450976ac
15350d5e0
hex2440c08

38013960 has 32 divisors (see below), whose sum is σ = 114042240. Its totient is φ = 10137024.

The previous prime is 38013959. The next prime is 38014013. The reversal of 38013960 is 6931083.

It is a super-2 number, since 2×380139602 = 2890122309763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158272 + ... + 158511.

It is an arithmetic number, because the mean of its divisors is an integer number (3563820).

Almost surely, 238013960 is an apocalyptic number.

38013960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38013960 is an abundant number, since it is smaller than the sum of its proper divisors (76028280).

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

38013960 is a wasteful number, since it uses less digits than its factorization.

38013960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316797 (or 316793 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 38013960 is about 6165.5462045142. The cubic root of 38013960 is about 336.2387050927.

The spelling of 38013960 in words is "thirty-eight million, thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 316783 633566 950349 1267132 1583915 1900698 2534264 3167830 3801396 4751745 6335660 7602792 9503490 12671320 19006980 38013960