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14137680 = 243558907
BaseRepresentation
bin110101111011…
…100101010000
3222121021020210
4311323211100
512104401210
61223004120
7231111504
oct65734520
928537223
1014137680
117a86937
124899640
132c0ccbb
141c40304
151393e20
hexd7b950

14137680 has 40 divisors (see below), whose sum is σ = 43827552. Its totient is φ = 3769984.

The previous prime is 14137649. The next prime is 14137681. The reversal of 14137680 is 8673141.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29214 + ... + 29693.

Almost surely, 214137680 is an apocalyptic number.

14137680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14137680 is an abundant number, since it is smaller than the sum of its proper divisors (29689872).

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

14137680 is a wasteful number, since it uses less digits than its factorization.

14137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58923 (or 58917 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 14137680 is about 3760.0106382828. The cubic root of 14137680 is about 241.8017181465.

The spelling of 14137680 in words is "fourteen million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58907 117814 176721 235628 294535 353442 471256 589070 706884 883605 942512 1178140 1413768 1767210 2356280 2827536 3534420 4712560 7068840 14137680