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13880430 = 2335101509
BaseRepresentation
bin110100111100…
…110001101110
3222010012101000
4310330301232
512023133210
61213301130
7225660504
oct64746156
928105330
1013880430
117920633
1247947a6
132b4cb95
141bb4674
151342ac0
hexd3cc6e

13880430 has 64 divisors (see below), whose sum is σ = 37454400. Its totient is φ = 3657600.

The previous prime is 13880417. The next prime is 13880453. The reversal of 13880430 is 3408831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13880394 and 13880403.

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, 27016 + ... + 27524.

It is an arithmetic number, because the mean of its divisors is an integer number (585225).

Almost surely, 213880430 is an apocalyptic number.

13880430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13880430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18727200).

13880430 is an abundant number, since it is smaller than the sum of its proper divisors (23573970).

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

13880430 is a wasteful number, since it uses less digits than its factorization.

13880430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13880430 is about 3725.6449106161. The cubic root of 13880430 is about 240.3261191588.

The spelling of 13880430 in words is "thirteen million, eight hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 509 606 909 1010 1018 1515 1527 1818 2545 2727 3030 3054 4545 4581 5090 5454 7635 9090 9162 13635 13743 15270 22905 27270 27486 45810 51409 68715 102818 137430 154227 257045 308454 462681 514090 771135 925362 1388043 1542270 2313405 2776086 4626810 6940215 13880430