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14074640 = 2451779131
BaseRepresentation
bin110101101100…
…001100010000
3222111001202222
4311230030100
512100342030
61221400212
7230426636
oct65541420
928431688
1014074640
117a43538
124869068
132bba3b8
141c25356
1513803e5
hexd6c310

14074640 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 5191680.

The previous prime is 14074639. The next prime is 14074661. The reversal of 14074640 is 4647041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×140746402 = 396190982259200, which contains 22 as substring.

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, 107375 + ... + 107505.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 214074640 is an apocalyptic number.

14074640 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 14074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

14074640 is an abundant number, since it is smaller than the sum of its proper divisors (21280240).

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

14074640 is a wasteful number, since it uses less digits than its factorization.

14074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 14074640 is about 3751.6183174731. The cubic root of 14074640 is about 241.4417841950.

The spelling of 14074640 in words is "fourteen million, seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 79 80 85 131 136 158 170 262 272 316 340 395 524 632 655 680 790 1048 1264 1310 1343 1360 1580 2096 2227 2620 2686 3160 4454 5240 5372 6320 6715 8908 10349 10480 10744 11135 13430 17816 20698 21488 22270 26860 35632 41396 44540 51745 53720 82792 89080 103490 107440 165584 175933 178160 206980 351866 413960 703732 827920 879665 1407464 1759330 2814928 3518660 7037320 14074640