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14125056 = 211311219
BaseRepresentation
bin110101111000…
…100000000000
3222120121221020
4311320200000
512104000211
61222425440
7231026631
oct65704000
928517836
1014125056
117a78400
124892280
132c0732a
141c39888
151390306
hexd78800

14125056 has 144 divisors (see below), whose sum is σ = 43570800. Its totient is φ = 4055040.

The previous prime is 14125039. The next prime is 14125103. The reversal of 14125056 is 65052141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 743415 + ... + 743433.

It is an arithmetic number, because the mean of its divisors is an integer number (302575).

Almost surely, 214125056 is an apocalyptic number.

14125056 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 14125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

14125056 is an abundant number, since it is smaller than the sum of its proper divisors (29445744).

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

14125056 is a wasteful number, since it uses less digits than its factorization.

14125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 14125056 is about 3758.3315447150. The cubic root of 14125056 is about 241.7297258088.

Adding to 14125056 its reverse (65052141), we get a palindrome (79177197).

The spelling of 14125056 in words is "fourteen million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 121 128 132 152 176 192 209 228 242 256 264 304 352 363 384 418 456 484 512 528 608 627 704 726 768 836 912 968 1024 1056 1216 1254 1408 1452 1536 1672 1824 1936 2048 2112 2299 2432 2508 2816 2904 3072 3344 3648 3872 4224 4598 4864 5016 5632 5808 6144 6688 6897 7296 7744 8448 9196 9728 10032 11264 11616 13376 13794 14592 15488 16896 18392 19456 20064 22528 23232 26752 27588 29184 30976 33792 36784 38912 40128 46464 53504 55176 58368 61952 67584 73568 80256 92928 107008 110352 116736 123904 147136 160512 185856 214016 220704 247808 294272 321024 371712 428032 441408 588544 642048 743424 882816 1177088 1284096 1765632 2354176 3531264 4708352 7062528 14125056