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14922096 = 243789499
BaseRepresentation
bin111000111011…
…000101110000
31001002010021020
4320323011300
512310001341
61251455440
7240556440
oct70730560
931063236
1014922096
118472212
124bb7580
133126057
141da6120
15149b566
hexe3b170

14922096 has 80 divisors (see below), whose sum is σ = 44640000. Its totient is φ = 4207104.

The previous prime is 14922059. The next prime is 14922121. The reversal of 14922096 is 69022941.

14922096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29655 + ... + 30153.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 214922096 is an apocalyptic number.

14922096 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 14922096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320000).

14922096 is an abundant number, since it is smaller than the sum of its proper divisors (29717904).

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

14922096 is a wasteful number, since it uses less digits than its factorization.

14922096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 14922096 is about 3862.9128905529. The cubic root of 14922096 is about 246.1935155217.

The spelling of 14922096 in words is "fourteen million, nine hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 499 534 623 712 998 1068 1246 1424 1497 1869 1996 2136 2492 2994 3493 3738 3992 4272 4984 5988 6986 7476 7984 9968 10479 11976 13972 14952 20958 23952 27944 29904 41916 44411 55888 83832 88822 133233 167664 177644 266466 310877 355288 532932 621754 710576 932631 1065864 1243508 1865262 2131728 2487016 3730524 4974032 7461048 14922096