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14057640 = 23325172297
BaseRepresentation
bin110101101000…
…000010101000
3222110012110100
4311220002220
512044321030
61221145400
7230326242
oct65500250
928405410
1014057640
117a31793
12485b260
132bb273c
141c1d092
15137a360
hexd680a8

14057640 has 96 divisors (see below), whose sum is σ = 48395880. Its totient is φ = 3526656.

The previous prime is 14057597. The next prime is 14057651. The reversal of 14057640 is 4675041.

14057640 is a `hidden beast` number, since 14 + 0 + 5 + 7 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12574116 + 1483524 = 3546^2 + 1218^2 .

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, 4972 + ... + 7268.

Almost surely, 214057640 is an apocalyptic number.

14057640 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 14057640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24197940).

14057640 is an abundant number, since it is smaller than the sum of its proper divisors (34338240).

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

14057640 is a wasteful number, since it uses less digits than its factorization.

14057640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14057640 is about 3749.3519440031. The cubic root of 14057640 is about 241.3445368533.

It can be divided in two parts, 1405 and 7640, that added together give a triangular number (9045 = T134).

The spelling of 14057640 in words is "fourteen million, fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 2297 3060 4594 6120 6891 9188 11485 13782 18376 20673 22970 27564 34455 39049 41346 45940 55128 68910 78098 82692 91880 103365 117147 137820 156196 165384 195245 206730 234294 275640 312392 351441 390490 413460 468588 585735 702882 780980 826920 937176 1171470 1405764 1561960 1757205 2342940 2811528 3514410 4685880 7028820 14057640