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14157680 = 245374783
BaseRepresentation
bin110110000000…
…011101110000
3222122021200112
4312000131300
512111021210
61223240452
7231224015
oct66003560
928567615
1014157680
117a9a969
1248a9128
132c19134
141c4770c
151399d05
hexd80770

14157680 has 40 divisors (see below), whose sum is σ = 33813312. Its totient is φ = 5508864.

The previous prime is 14157677. The next prime is 14157697. The reversal of 14157680 is 8675141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569 + ... + 5351.

Almost surely, 214157680 is an apocalyptic number.

14157680 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 14157680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16906656).

14157680 is an abundant number, since it is smaller than the sum of its proper divisors (19655632).

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

14157680 is a wasteful number, since it uses less digits than its factorization.

14157680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 14157680 is about 3762.6692652956. The cubic root of 14157680 is about 241.9156867681.

The spelling of 14157680 in words is "fourteen million, one hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4783 9566 19132 23915 38264 47830 76528 95660 176971 191320 353942 382640 707884 884855 1415768 1769710 2831536 3539420 7078840 14157680