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14282940 = 22357311097
BaseRepresentation
bin110110011111…
…000010111100
3222212122111210
4312133002330
512124023230
61230044420
7232255140
oct66370274
928778453
1014282940
118075a91
124949710
132c61159
141c7b220
1513c1eb0
hexd9f0bc

14282940 has 96 divisors (see below), whose sum is σ = 47222784. Its totient is φ = 3156480.

The previous prime is 14282929. The next prime is 14282953. The reversal of 14282940 is 4928241.

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

It is a junction number, because it is equal to n+sod(n) for n = 14282898 and 14282907.

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, 12472 + ... + 13568.

It is an arithmetic number, because the mean of its divisors is an integer number (491904).

Almost surely, 214282940 is an apocalyptic number.

14282940 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 14282940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23611392).

14282940 is an abundant number, since it is smaller than the sum of its proper divisors (32939844).

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

14282940 is a wasteful number, since it uses less digits than its factorization.

14282940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14282940 is about 3779.2777087692. The cubic root of 14282940 is about 242.6270422293.

The spelling of 14282940 in words is "fourteen million, two hundred eighty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1097 1302 1860 2170 2194 2604 3255 3291 4340 4388 5485 6510 6582 7679 10970 13020 13164 15358 16455 21940 23037 30716 32910 34007 38395 46074 65820 68014 76790 92148 102021 115185 136028 153580 170035 204042 230370 238049 340070 408084 460740 476098 510105 680140 714147 952196 1020210 1190245 1428294 2040420 2380490 2856588 3570735 4760980 7141470 14282940