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14980056 = 233713193
BaseRepresentation
bin111001001001…
…001111011000
31001012001202220
4321021033120
512313330211
61253024040
7241220430
oct71111730
931161686
1014980056
118501813
125025020
133146550
141dbd2c0
1514ad806
hexe493d8

14980056 has 128 divisors (see below), whose sum is σ = 48652800. Its totient is φ = 3742848.

The previous prime is 14980051. The next prime is 14980057. The reversal of 14980056 is 65008941.

14980056 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 junction number, because it is equal to n+sod(n) for n = 14979999 and 14980026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14980051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788415 + ... + 788433.

It is an arithmetic number, because the mean of its divisors is an integer number (380100).

Almost surely, 214980056 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 14980056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24326400).

14980056 is an abundant number, since it is smaller than the sum of its proper divisors (33672744).

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

14980056 is a wasteful number, since it uses less digits than its factorization.

14980056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 14980056 is about 3870.4077304594. The cubic root of 14980056 is about 246.5118564352.

Adding to 14980056 its reverse (65008941), we get a palindrome (79988997).

The spelling of 14980056 in words is "fourteen million, nine hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 361 364 399 456 494 532 546 722 728 741 798 988 1064 1083 1092 1444 1482 1596 1729 1976 2166 2184 2527 2888 2964 3192 3458 4332 4693 5054 5187 5928 6859 6916 7581 8664 9386 10108 10374 13718 13832 14079 15162 18772 20216 20577 20748 27436 28158 30324 32851 37544 41154 41496 48013 54872 56316 60648 65702 82308 89167 96026 98553 112632 131404 144039 164616 178334 192052 197106 262808 267501 288078 356668 384104 394212 535002 576156 624169 713336 788424 1070004 1152312 1248338 1872507 2140008 2496676 3745014 4993352 7490028 14980056