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14130072 = 23331119313
BaseRepresentation
bin110101111001…
…101110011000
3222120212211000
4311321232120
512104130242
61222505000
7231050355
oct65715630
928525730
1014130072
117a81150
124895160
132c096b8
141c3b62c
151391a4c
hexd79b98

14130072 has 128 divisors (see below), whose sum is σ = 45216000. Its totient is φ = 4043520.

The previous prime is 14130049. The next prime is 14130097. The reversal of 14130072 is 27003141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44988 + ... + 45300.

It is an arithmetic number, because the mean of its divisors is an integer number (353250).

Almost surely, 214130072 is an apocalyptic number.

14130072 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 14130072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608000).

14130072 is an abundant number, since it is smaller than the sum of its proper divisors (31085928).

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

14130072 is a wasteful number, since it uses less digits than its factorization.

14130072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 14130072 is about 3758.9988028729. The cubic root of 14130072 is about 241.7583362630.

The spelling of 14130072 in words is "fourteen million, one hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 114 132 152 171 198 209 216 228 264 297 313 342 396 418 456 513 594 626 627 684 792 836 939 1026 1188 1252 1254 1368 1672 1878 1881 2052 2376 2504 2508 2817 3443 3756 3762 4104 5016 5634 5643 5947 6886 7512 7524 8451 10329 11268 11286 11894 13772 15048 16902 17841 20658 22536 22572 23788 27544 30987 33804 35682 41316 45144 47576 53523 61974 65417 67608 71364 82632 92961 107046 123948 130834 142728 160569 185922 196251 214092 247896 261668 321138 371844 392502 428184 523336 588753 642276 743688 785004 1177506 1284552 1570008 1766259 2355012 3532518 4710024 7065036 14130072