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14749920 = 2532510243
BaseRepresentation
bin111000010001…
…000011100000
31000202101002100
4320101003200
512233444140
61244050400
7236241453
oct70210340
930671070
1014749920
118364919
124b33a00
133095883
141d5d49a
151465530
hexe110e0

14749920 has 72 divisors (see below), whose sum is σ = 50339016. Its totient is φ = 3932928.

The previous prime is 14749919. The next prime is 14749927. The reversal of 14749920 is 2994741.

14749920 is a `hidden beast` number, since 147 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14749927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3682 + ... + 6561.

It is an arithmetic number, because the mean of its divisors is an integer number (699153).

Almost surely, 214749920 is an apocalyptic number.

14749920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14749920 is an abundant number, since it is smaller than the sum of its proper divisors (35589096).

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

14749920 is a wasteful number, since it uses less digits than its factorization.

14749920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 14749920 is about 3840.5624588073. The cubic root of 14749920 is about 245.2429631975.

The spelling of 14749920 in words is "fourteen million, seven hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 10243 20486 30729 40972 51215 61458 81944 92187 102430 122916 153645 163888 184374 204860 245832 307290 327776 368748 409720 460935 491664 614580 737496 819440 921870 983328 1229160 1474992 1638880 1843740 2458320 2949984 3687480 4916640 7374960 14749920