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14098872 = 2332947431
BaseRepresentation
bin110101110010…
…000110111000
3222112022000110
4311302012320
512102130442
61222104320
7230560404
oct65620670
928468013
1014098872
117a5a767
12487b0a0
132bc8438
141c30104
15138769c
hexd721b8

14098872 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 4430720.

The previous prime is 14098841. The next prime is 14098873. The reversal of 14098872 is 27889041.

14098872 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14098872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14098873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32497 + ... + 32927.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 214098872 is an apocalyptic number.

14098872 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 14098872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

14098872 is an abundant number, since it is smaller than the sum of its proper divisors (23225928).

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

14098872 is a wasteful number, since it uses less digits than its factorization.

14098872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 14098872 is about 3754.8464682328. The cubic root of 14098872 is about 241.5802664320.

The spelling of 14098872 in words is "fourteen million, ninety-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 174 188 232 282 348 376 431 564 696 862 1128 1293 1363 1724 2586 2726 3448 4089 5172 5452 8178 10344 10904 12499 16356 20257 24998 32712 37497 40514 49996 60771 74994 81028 99992 121542 149988 162056 243084 299976 486168 587453 1174906 1762359 2349812 3524718 4699624 7049436 14098872