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14902056 = 2334132961
BaseRepresentation
bin111000110110…
…001100101000
31001001002210000
4320312030220
512303331211
61251223000
7240444141
oct70661450
931032700
1014902056
118459154
124ba7a60
133119bb0
141d9cac8
151495656
hexe36328

14902056 has 160 divisors (see below), whose sum is σ = 47262600. Its totient is φ = 4354560.

The previous prime is 14902049. The next prime is 14902057. The reversal of 14902056 is 65020941.

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 8820900 = 2466^2 + 2970^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14902057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244266 + ... + 244326.

Almost surely, 214902056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14902056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631300).

14902056 is an abundant number, since it is smaller than the sum of its proper divisors (32360544).

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

14902056 is a wasteful number, since it uses less digits than its factorization.

14902056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 14902056 is about 3860.3181216060. The cubic root of 14902056 is about 246.0832555797.

Adding to 14902056 its reverse (65020941), we get a palindrome (79922997).

The spelling of 14902056 in words is "fourteen million, nine hundred two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 61 72 78 81 87 104 108 116 117 122 156 162 174 183 216 232 234 244 261 312 324 348 351 366 377 468 488 522 549 648 696 702 732 754 783 793 936 1044 1053 1098 1131 1404 1464 1508 1566 1586 1647 1769 2088 2106 2196 2262 2349 2379 2808 3016 3132 3172 3294 3393 3538 4212 4392 4524 4698 4758 4941 5307 6264 6344 6588 6786 7076 7137 8424 9048 9396 9516 9882 10179 10614 13176 13572 14152 14274 15921 18792 19032 19764 20358 21228 21411 22997 27144 28548 30537 31842 39528 40716 42456 42822 45994 47763 57096 61074 63684 64233 68991 81432 85644 91988 95526 122148 127368 128466 137982 143289 171288 183976 191052 206973 244296 256932 275964 286578 382104 413946 513864 551928 573156 620919 827892 1146312 1241838 1655784 1862757 2483676 3725514 4967352 7451028 14902056