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13873152 = 21231129
BaseRepresentation
bin110100111011…
…000000000000
3222002211101110
4310323000000
512022420102
61213203320
7225630336
oct64730000
928084343
1013873152
117916117
124790540
132b49787
141bb1b56
15134086c
hexd3b000

13873152 has 52 divisors (see below), whose sum is σ = 37023320. Its totient is φ = 4620288.

The previous prime is 13873147. The next prime is 13873157. The reversal of 13873152 is 25137831.

It is an interprime number because it is at equal distance from previous prime (13873147) and next prime (13873157).

It is not an unprimeable number, because it can be changed into a prime (13873157) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11724 + ... + 12852.

Almost surely, 213873152 is an apocalyptic number.

13873152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511660).

13873152 is an abundant number, since it is smaller than the sum of its proper divisors (23150168).

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

13873152 is an equidigital number, since it uses as much as digits as its factorization.

13873152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1134 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 13873152 is about 3724.6680388996. The cubic root of 13873152 is about 240.2841079894.

The spelling of 13873152 in words is "thirteen million, eight hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1129 1536 2048 2258 3072 3387 4096 4516 6144 6774 9032 12288 13548 18064 27096 36128 54192 72256 108384 144512 216768 289024 433536 578048 867072 1156096 1734144 2312192 3468288 4624384 6936576 13873152