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14788980 = 2235517179
BaseRepresentation
bin111000011010…
…100101110100
31000211100200000
4320122211310
512241221410
61244551300
7236463363
oct70324564
930740600
1014788980
1183911a8
124b52530
1330aa59b
141d6d7da
151471dc0
hexe1a974

14788980 has 144 divisors (see below), whose sum is σ = 49533120. Its totient is φ = 3691008.

The previous prime is 14788979. The next prime is 14788993. The reversal of 14788980 is 8988741.

14788980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82531 + ... + 82709.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 214788980 is an apocalyptic number.

14788980 is a gapful number since it is divisible by the number (10) 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 14788980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766560).

14788980 is an abundant number, since it is smaller than the sum of its proper divisors (34744140).

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

14788980 is a wasteful number, since it uses less digits than its factorization.

14788980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 14788980 is about 3845.6442893227. The cubic root of 14788980 is about 245.4592524350.

The spelling of 14788980 in words is "fourteen million, seven hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 179 180 204 243 255 270 306 324 340 358 405 459 486 510 537 540 612 716 765 810 895 918 972 1020 1074 1215 1377 1530 1611 1620 1790 1836 2148 2295 2430 2685 2754 3043 3060 3222 3580 4131 4590 4833 4860 5370 5508 6086 6444 6885 8055 8262 9129 9180 9666 10740 12172 13770 14499 15215 16110 16524 18258 19332 20655 24165 27387 27540 28998 30430 32220 36516 41310 43497 45645 48330 54774 57996 60860 72495 82161 82620 86994 91290 96660 109548 136935 144990 164322 173988 182580 217485 246483 273870 289980 328644 410805 434970 492966 547740 739449 821610 869940 985932 1232415 1478898 1643220 2464830 2957796 3697245 4929660 7394490 14788980