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14059392 = 273194147
BaseRepresentation
bin110101101000…
…011110000000
3222110021212020
4311220132000
512044400032
61221201440
7230334324
oct65503600
928407766
1014059392
117a33036
124860280
132bb3489
141c1d984
15137ab2c
hexd68780

14059392 has 128 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4239360.

The previous prime is 14059387. The next prime is 14059429. The reversal of 14059392 is 29395041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 299113 + ... + 299159.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 214059392 is an apocalyptic number.

14059392 is a gapful number since it is divisible by the number (12) 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 14059392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

14059392 is an abundant number, since it is smaller than the sum of its proper divisors (27067008).

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

14059392 is a wasteful number, since it uses less digits than its factorization.

14059392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 14059392 is about 3749.5855771005. The cubic root of 14059392 is about 241.3545626723.

The spelling of 14059392 in words is "fourteen million, fifty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 47 48 57 64 76 82 94 96 114 123 128 141 152 164 188 192 228 246 282 304 328 376 384 456 492 564 608 656 752 779 893 912 984 1128 1216 1312 1504 1558 1786 1824 1927 1968 2256 2337 2432 2624 2679 3008 3116 3572 3648 3854 3936 4512 4674 5248 5358 5781 6016 6232 7144 7296 7708 7872 9024 9348 10716 11562 12464 14288 15416 15744 18048 18696 21432 23124 24928 28576 30832 36613 37392 42864 46248 49856 57152 61664 73226 74784 85728 92496 99712 109839 114304 123328 146452 149568 171456 184992 219678 246656 292904 299136 342912 369984 439356 585808 739968 878712 1171616 1757424 2343232 3514848 4686464 7029696 14059392