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13917420 = 2234511271
BaseRepresentation
bin110101000101…
…110011101100
3222012002010000
4311011303230
512030324140
61214144300
7226203366
oct65056354
928162100
1013917420
117946400
1247b2090
132b6397a
141bc3d36
15134da30
hexd45cec

13917420 has 180 divisors, whose sum is σ = 48665232. Its totient is φ = 3326400.

The previous prime is 13917413. The next prime is 13917437. The reversal of 13917420 is 2471931.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195985 + ... + 196055.

Almost surely, 213917420 is an apocalyptic number.

13917420 is a gapful number since it is divisible by the number (10) 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 13917420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332616).

13917420 is an abundant number, since it is smaller than the sum of its proper divisors (34747812).

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

13917420 is a wasteful number, since it uses less digits than its factorization.

13917420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13917420 is about 3730.6058489205. The cubic root of 13917420 is about 240.5394117375.

The spelling of 13917420 in words is "thirteen million, nine hundred seventeen thousand, four hundred twenty".