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114066420 = 223513146239
BaseRepresentation
bin1101100110010…
…00001111110100
321221122011201020
412303020033310
5213200111140
615152501140
72553356106
oct663101764
9257564636
10114066420
1159429876
123224a7b0
131a82a230
1411213576
15a0326d0
hex6cc83f4

114066420 has 48 divisors (see below), whose sum is σ = 343956480. Its totient is φ = 28077696.

The previous prime is 114066409. The next prime is 114066431. The reversal of 114066420 is 24660411.

It is an interprime number because it is at equal distance from previous prime (114066409) and next prime (114066431).

It is a super-2 number, since 2×1140664202 = 26022296343232800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72340 + ... + 73899.

It is an arithmetic number, because the mean of its divisors is an integer number (7165760).

Almost surely, 2114066420 is an apocalyptic number.

114066420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114066420 is an abundant number, since it is smaller than the sum of its proper divisors (229890060).

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

114066420 is a wasteful number, since it uses less digits than its factorization.

114066420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146264 (or 146262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114066420 is about 10680.1882005890. The cubic root of 114066420 is about 484.9749092486.

The spelling of 114066420 in words is "one hundred fourteen million, sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 146239 292478 438717 584956 731195 877434 1462390 1754868 1901107 2193585 2924780 3802214 4387170 5703321 7604428 8774340 9505535 11406642 19011070 22813284 28516605 38022140 57033210 114066420