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14661472 = 257293761
BaseRepresentation
bin110111111011…
…011101100000
31000120212202111
4313323131200
512223131342
61242125104
7235422550
oct67733540
930525674
1014661472
118304421
124ab0794
133064537
141d39160
151449217
hexdfb760

14661472 has 96 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 5806080.

The previous prime is 14661469. The next prime is 14661487. The reversal of 14661472 is 27416641.

It is a super-2 number, since 2×146614722 = 429917522413568, which contains 22 as substring.

Its product of digits (8064) is a multiple of the sum of its prime factors (144).

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, 240322 + ... + 240382.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 214661472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

14661472 is an abundant number, since it is smaller than the sum of its proper divisors (20961248).

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

14661472 is a wasteful number, since it uses less digits than its factorization.

14661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 14661472 is about 3829.0301644150. The cubic root of 14661472 is about 244.7517797002.

The spelling of 14661472 in words is "fourteen million, six hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 37 56 58 61 74 112 116 122 148 203 224 232 244 259 296 406 427 464 488 518 592 812 854 928 976 1036 1073 1184 1624 1708 1769 1952 2072 2146 2257 3248 3416 3538 4144 4292 4514 6496 6832 7076 7511 8288 8584 9028 12383 13664 14152 15022 15799 17168 18056 24766 28304 30044 31598 34336 36112 49532 56608 60088 63196 65453 72224 99064 120176 126392 130906 198128 240352 252784 261812 396256 458171 505568 523624 916342 1047248 1832684 2094496 3665368 7330736 14661472