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13630760 = 23511132383
BaseRepresentation
bin110011111111…
…110100101000
3221122111212222
4303333310220
511442141020
61204053212
7223600553
oct63776450
927574788
1013630760
11776aaa0
124694208
132a93350
141b4b69a
1512e3b25
hexcffd28

13630760 has 64 divisors (see below), whose sum is σ = 36046080. Its totient is φ = 4573440.

The previous prime is 13630741. The next prime is 13630769. The reversal of 13630760 is 6703631.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (13630769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4529 + ... + 6911.

It is an arithmetic number, because the mean of its divisors is an integer number (563220).

Almost surely, 213630760 is an apocalyptic number.

13630760 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 13630760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023040).

13630760 is an abundant number, since it is smaller than the sum of its proper divisors (22415320).

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

13630760 is a wasteful number, since it uses less digits than its factorization.

13630760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 13630760 is about 3691.9859154661. The cubic root of 13630760 is about 238.8764614251.

The spelling of 13630760 in words is "thirteen million, six hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2383 2860 4766 5720 9532 11915 19064 23830 26213 30979 47660 52426 61958 95320 104852 123916 131065 154895 209704 247832 262130 309790 340769 524260 619580 681538 1048520 1239160 1363076 1703845 2726152 3407690 6815380 13630760