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188014140 = 2232510310141
BaseRepresentation
bin10110011010011…
…01111000111100
3111002210002220200
423031031320330
5341112423030
630353443500
74442044116
oct1315157074
9432702820
10188014140
1197146896
1252b70590
132cc4b892
141ad823b6
151178cd60
hexb34de3c

188014140 has 72 divisors (see below), whose sum is σ = 575903328. Its totient is φ = 49645440.

The previous prime is 188014129. The next prime is 188014153. The reversal of 188014140 is 41410881.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13470 + ... + 23610.

Almost surely, 2188014140 is an apocalyptic number.

188014140 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 188014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287951664).

188014140 is an abundant number, since it is smaller than the sum of its proper divisors (387889188).

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

188014140 is a wasteful number, since it uses less digits than its factorization.

188014140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10259 (or 10254 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 188014140 is about 13711.8248238519. The cubic root of 188014140 is about 572.8797935027.

The spelling of 188014140 in words is "one hundred eighty-eight million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 10141 18540 20282 30423 40564 50705 60846 91269 101410 121692 152115 182538 202820 304230 365076 456345 608460 912690 1044523 1825380 2089046 3133569 4178092 5222615 6267138 9400707 10445230 12534276 15667845 18801414 20890460 31335690 37602828 47003535 62671380 94007070 188014140