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13573920 = 253528279
BaseRepresentation
bin110011110001…
…111100100000
3221112121220210
4303301330200
511433331140
61202534120
7223243053
oct63617440
927477823
1013573920
117731318
124667340
132a73509
141b34a9a
1512d1d80
hexcf1f20

13573920 has 48 divisors (see below), whose sum is σ = 42759360. Its totient is φ = 3619584.

The previous prime is 13573907. The next prime is 13573921. The reversal of 13573920 is 2937531.

13573920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (13573921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13660 + ... + 14619.

It is an arithmetic number, because the mean of its divisors is an integer number (890820).

Almost surely, 213573920 is an apocalyptic number.

13573920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13573920 is an abundant number, since it is smaller than the sum of its proper divisors (29185440).

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

13573920 is a wasteful number, since it uses less digits than its factorization.

13573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28297 (or 28289 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13573920 is about 3684.2801196435. The cubic root of 13573920 is about 238.5439621153.

The spelling of 13573920 in words is "thirteen million, five hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 28279 56558 84837 113116 141395 169674 226232 282790 339348 424185 452464 565580 678696 848370 904928 1131160 1357392 1696740 2262320 2714784 3393480 4524640 6786960 13573920