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14074680 = 2335532213
BaseRepresentation
bin110101101100…
…001100111000
3222111001211110
4311230030320
512100342210
61221400320
7230430024
oct65541470
928431743
1014074680
117a43574
1248690a0
132bba419
141c25384
151380420
hexd6c338

14074680 has 64 divisors (see below), whose sum is σ = 43040160. Its totient is φ = 3680768.

The previous prime is 14074679. The next prime is 14074721. The reversal of 14074680 is 8647041.

14074680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5254 + ... + 7466.

Almost surely, 214074680 is an apocalyptic number.

14074680 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 14074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21520080).

14074680 is an abundant number, since it is smaller than the sum of its proper divisors (28965480).

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

14074680 is a wasteful number, since it uses less digits than its factorization.

14074680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 14074680 is about 3751.6236485021. The cubic root of 14074680 is about 241.4420129200.

The spelling of 14074680 in words is "fourteen million, seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 2213 3180 4426 6360 6639 8852 11065 13278 17704 22130 26556 33195 44260 53112 66390 88520 117289 132780 234578 265560 351867 469156 586445 703734 938312 1172890 1407468 1759335 2345780 2814936 3518670 4691560 7037340 14074680