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14158496 = 2511192973
BaseRepresentation
bin110110000000…
…101010100000
3222122022210202
4312000222200
512111032441
61223244332
7231226262
oct66005240
928568722
1014158496
117aa0540
1248a96a8
132c19611
141c47b32
15139a19b
hexd80aa0

14158496 has 96 divisors (see below), whose sum is σ = 33566400. Its totient is φ = 5806080.

The previous prime is 14158471. The next prime is 14158513. The reversal of 14158496 is 69485141.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 193916 + ... + 193988.

It is an arithmetic number, because the mean of its divisors is an integer number (349650).

Almost surely, 214158496 is an apocalyptic number.

14158496 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 14158496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783200).

14158496 is an abundant number, since it is smaller than the sum of its proper divisors (19407904).

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

14158496 is a wasteful number, since it uses less digits than its factorization.

14158496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 14158496 is about 3762.7776973932. Note that the first 3 decimals coincide. The cubic root of 14158496 is about 241.9203344083.

The spelling of 14158496 in words is "fourteen million, one hundred fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 73 76 88 116 146 152 176 209 232 292 304 319 352 418 464 551 584 608 638 803 836 928 1102 1168 1276 1387 1606 1672 2117 2204 2336 2552 2774 3212 3344 4234 4408 5104 5548 6061 6424 6688 8468 8816 10208 11096 12122 12848 15257 16936 17632 22192 23287 24244 25696 30514 33872 40223 44384 46574 48488 61028 67744 80446 93148 96976 122056 160892 186296 193952 244112 321784 372592 442453 488224 643568 745184 884906 1287136 1769812 3539624 7079248 14158496