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14872896 = 263419151
BaseRepresentation
bin111000101111…
…000101000000
31000222121210000
4320233011000
512301413041
61250440000
7240263133
oct70570500
930877700
1014872896
118439255
124b93000
13310983c
141d9221a
15148bbb6
hexe2f140

14872896 has 140 divisors (see below), whose sum is σ = 46715680. Its totient is φ = 4665600.

The previous prime is 14872831. The next prime is 14872919. The reversal of 14872896 is 69827841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98421 + ... + 98571.

Almost surely, 214872896 is an apocalyptic number.

14872896 is a gapful number since it is divisible by the number (16) 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 14872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23357840).

14872896 is an abundant number, since it is smaller than the sum of its proper divisors (31842784).

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

14872896 is a wasteful number, since it uses less digits than its factorization.

14872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 14872896 is about 3856.5393813625. The cubic root of 14872896 is about 245.9226407558.

The spelling of 14872896 in words is "fourteen million, eight hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 151 152 162 171 192 216 228 288 302 304 324 342 432 453 456 513 576 604 608 648 684 864 906 912 1026 1208 1216 1296 1359 1368 1539 1728 1812 1824 2052 2416 2592 2718 2736 2869 3078 3624 3648 4077 4104 4832 5184 5436 5472 5738 6156 7248 8154 8208 8607 9664 10872 10944 11476 12231 12312 14496 16308 16416 17214 21744 22952 24462 24624 25821 28992 32616 32832 34428 43488 45904 48924 49248 51642 65232 68856 77463 86976 91808 97848 98496 103284 130464 137712 154926 183616 195696 206568 232389 260928 275424 309852 391392 413136 464778 550848 619704 782784 826272 929556 1239408 1652544 1859112 2478816 3718224 4957632 7436448 14872896