Search a number
-
+
38800920 = 2335323341
BaseRepresentation
bin1001010000000…
…0111000011000
32201000021212010
42110000320120
534413112140
63503345520
7650542134
oct224007030
981007763
1038800920
111a9a1784
1210bb22a0
138066b32
1452203c4
153616880
hex2500e18

38800920 has 32 divisors (see below), whose sum is σ = 116403120. Its totient is φ = 10346880.

The previous prime is 38800903. The next prime is 38800943. The reversal of 38800920 is 2900883.

It is a super-2 number, since 2×388009202 = 3011022785692800, which contains 22 as substring.

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

It is a congruent number.

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, 161551 + ... + 161790.

Almost surely, 238800920 is an apocalyptic number.

38800920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38800920 is an abundant number, since it is smaller than the sum of its proper divisors (77602200).

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

38800920 is a wasteful number, since it uses less digits than its factorization.

38800920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323355 (or 323351 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 38800920 is about 6229.0384490706. The cubic root of 38800920 is about 338.5431320026.

The spelling of 38800920 in words is "thirty-eight million, eight hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 323341 646682 970023 1293364 1616705 1940046 2586728 3233410 3880092 4850115 6466820 7760184 9700230 12933640 19400460 38800920