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14372064 = 253277129
BaseRepresentation
bin110110110100…
…110011100000
31000001011202200
4312310303200
512134401224
61232013200
7233106030
oct66646340
930034680
1014372064
118126a43
124991200
132c928a5
141ca18c0
1513dd5c9
hexdb4ce0

14372064 has 72 divisors (see below), whose sum is σ = 46715760. Its totient is φ = 4105728.

The previous prime is 14372053. The next prime is 14372069. The reversal of 14372064 is 46027341.

14372064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14372069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1549 + ... + 5580.

It is an arithmetic number, because the mean of its divisors is an integer number (648830).

Almost surely, 214372064 is an apocalyptic number.

14372064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14372064 is an abundant number, since it is smaller than the sum of its proper divisors (32343696).

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

14372064 is a wasteful number, since it uses less digits than its factorization.

14372064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 14372064 is about 3791.0505140396. The cubic root of 14372064 is about 243.1306516839.

The spelling of 14372064 in words is "fourteen million, three hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 7129 14258 21387 28516 42774 49903 57032 64161 85548 99806 114064 128322 149709 171096 199612 228128 256644 299418 342192 399224 449127 513288 598836 684384 798448 898254 1026576 1197672 1596896 1796508 2053152 2395344 3593016 4790688 7186032 14372064