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15712680 = 2335235693
BaseRepresentation
bin111011111100…
…000110101000
31002120021202010
4323330012220
513010301210
61320435520
7250361364
oct73740650
932507663
1015712680
118962195
125318ba0
133341b59
1421302a4
1515a5920
hexefc1a8

15712680 has 64 divisors (see below), whose sum is σ = 49196160. Its totient is φ = 4007168.

The previous prime is 15712663. The next prime is 15712681. The reversal of 15712680 is 8621751.

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

It is not an unprimeable number, because it can be changed into a prime (15712681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 5606.

It is an arithmetic number, because the mean of its divisors is an integer number (768690).

Almost surely, 215712680 is an apocalyptic number.

15712680 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 15712680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24598080).

15712680 is an abundant number, since it is smaller than the sum of its proper divisors (33483480).

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

15712680 is a wasteful number, since it uses less digits than its factorization.

15712680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 15712680 is about 3963.9222999448. The cubic root of 15712680 is about 250.4667546846.

The spelling of 15712680 in words is "fifteen million, seven hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 5693 11386 17079 22772 28465 34158 45544 56930 68316 85395 113860 130939 136632 170790 227720 261878 341580 392817 523756 654695 683160 785634 1047512 1309390 1571268 1964085 2618780 3142536 3928170 5237560 7856340 15712680