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14157440 = 275112011
BaseRepresentation
bin110110000000…
…011010000000
3222122021100122
4312000122000
512111014230
61223235412
7231223223
oct66003200
928567318
1014157440
117a9a770
1248a8b68
132c18cab
141c475ba
151399be5
hexd80680

14157440 has 64 divisors (see below), whose sum is σ = 36940320. Its totient is φ = 5145600.

The previous prime is 14157439. The next prime is 14157469. The reversal of 14157440 is 4475141.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6035 + ... + 8045.

Almost surely, 214157440 is an apocalyptic number.

14157440 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 14157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470160).

14157440 is an abundant number, since it is smaller than the sum of its proper divisors (22782880).

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

14157440 is a wasteful number, since it uses less digits than its factorization.

14157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 14157440 is about 3762.6373729075. The cubic root of 14157440 is about 241.9143197812.

The spelling of 14157440 in words is "fourteen million, one hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2011 3520 4022 7040 8044 10055 16088 20110 22121 32176 40220 44242 64352 80440 88484 110605 128704 160880 176968 221210 257408 321760 353936 442420 643520 707872 884840 1287040 1415744 1769680 2831488 3539360 7078720 14157440