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9139968 = 28323967
BaseRepresentation
bin100010110111…
…011100000000
3122012100200100
4202313130000
54314434333
6523522400
7140455065
oct42673400
918170610
109139968
115182aa2
123089400
131b80286
1412dcc6c
15c08213
hex8b7700

9139968 has 54 divisors (see below), whose sum is σ = 26359424. Its totient is φ = 3045888.

The previous prime is 9139943. The next prime is 9139973. The reversal of 9139968 is 8699319.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 321 + ... + 4287.

Almost surely, 29139968 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 9139968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179712).

9139968 is an abundant number, since it is smaller than the sum of its proper divisors (17219456).

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

9139968 is a wasteful number, since it uses less digits than its factorization.

9139968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3972 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 9139968 is about 3023.2379992319. The cubic root of 9139968 is about 209.0811555741.

It can be divided in two parts, 9 and 139968, that multiplied together give a cube (1259712 = 1083).

The spelling of 9139968 in words is "nine million, one hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 3967 7934 11901 15868 23802 31736 35703 47604 63472 71406 95208 126944 142812 190416 253888 285624 380832 507776 571248 761664 1015552 1142496 1523328 2284992 3046656 4569984 9139968