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14918280 = 23351373131
BaseRepresentation
bin111000111010…
…001010001000
31001001221000220
4320322022020
512304341110
61251430040
7240542346
oct70721210
931057026
1014918280
11846a363
124bb5320
1331243b0
141da4996
15149a370
hexe3a288

14918280 has 128 divisors (see below), whose sum is σ = 49230720. Its totient is φ = 3594240.

The previous prime is 14918273. The next prime is 14918303. The reversal of 14918280 is 8281941.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113815 + ... + 113945.

It is an arithmetic number, because the mean of its divisors is an integer number (384615).

Almost surely, 214918280 is an apocalyptic number.

14918280 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 14918280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24615360).

14918280 is an abundant number, since it is smaller than the sum of its proper divisors (34312440).

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

14918280 is a wasteful number, since it uses less digits than its factorization.

14918280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 14918280 is about 3862.4189311881. The cubic root of 14918280 is about 246.1725275285.

The spelling of 14918280 in words is "fourteen million, nine hundred eighteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 73 78 104 120 130 131 146 156 195 219 260 262 292 312 365 390 393 438 520 524 584 655 730 780 786 876 949 1048 1095 1310 1460 1560 1572 1703 1752 1898 1965 2190 2620 2847 2920 3144 3406 3796 3930 4380 4745 5109 5240 5694 6812 7592 7860 8515 8760 9490 9563 10218 11388 13624 14235 15720 17030 18980 19126 20436 22776 25545 28470 28689 34060 37960 38252 40872 47815 51090 56940 57378 68120 76504 95630 102180 113880 114756 124319 143445 191260 204360 229512 248638 286890 372957 382520 497276 573780 621595 745914 994552 1147560 1243190 1491828 1864785 2486380 2983656 3729570 4972760 7459140 14918280