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14117880 = 233576
BaseRepresentation
bin110101110110…
…101111111000
3222120021002110
4311312233320
512103233010
61222332320
7231000000
oct65665770
928507073
1014117880
117a72a77
12488a0a0
132c03c9a
141c37000
15138d120
hexd76bf8

14117880 has 112 divisors (see below), whose sum is σ = 49412520. Its totient is φ = 3226944.

The previous prime is 14117879. The next prime is 14117891. The reversal of 14117880 is 8871141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2016837 + ... + 2016843.

Almost surely, 214117880 is an apocalyptic number.

14117880 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 14117880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24706260).

14117880 is an abundant number, since it is smaller than the sum of its proper divisors (35294640).

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

14117880 is an frugal number, since it uses more digits than its factorization.

14117880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 14117880 is about 3757.3767444854. The cubic root of 14117880 is about 241.6887832844.

Multiplying 14117880 by its sum of digits (30), we get a square (423536400 = 205802).

14117880 divided by its sum of digits (30) gives a square (470596 = 6862).

The spelling of 14117880 in words is "fourteen million, one hundred seventeen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2401 2744 2940 3430 4116 4802 5145 5880 6860 7203 8232 9604 10290 12005 13720 14406 16807 19208 20580 24010 28812 33614 36015 41160 48020 50421 57624 67228 72030 84035 96040 100842 117649 134456 144060 168070 201684 235298 252105 288120 336140 352947 403368 470596 504210 588245 672280 705894 941192 1008420 1176490 1411788 1764735 2016840 2352980 2823576 3529470 4705960 7058940 14117880