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13480668 = 22372367
BaseRepresentation
bin110011011011…
…001011011100
3221100220000000
4303123023130
511422340133
61200534300
7222404145
oct63331334
927326000
1013480668
117678253
124621390
132a3cc36
141b0cacc
1512b4413
hexcdb2dc

13480668 has 96 divisors (see below), whose sum is σ = 37470720. Its totient is φ = 4234032.

The previous prime is 13480667. The next prime is 13480693. The reversal of 13480668 is 86608431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13480667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201171 + ... + 201237.

It is an arithmetic number, because the mean of its divisors is an integer number (390320).

Almost surely, 213480668 is an apocalyptic number.

13480668 is a gapful number since it is divisible by the number (18) 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 13480668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735360).

13480668 is an abundant number, since it is smaller than the sum of its proper divisors (23990052).

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

13480668 is an equidigital number, since it uses as much as digits as its factorization.

13480668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 13480668 is about 3671.6029197069. The cubic root of 13480668 is about 237.9964455840.

The spelling of 13480668 in words is "thirteen million, four hundred eighty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 67 69 81 92 108 134 138 162 201 207 243 268 276 324 402 414 486 603 621 729 804 828 972 1206 1242 1458 1541 1809 1863 2187 2412 2484 2916 3082 3618 3726 4374 4623 5427 5589 6164 7236 7452 8748 9246 10854 11178 13869 16281 16767 18492 21708 22356 27738 32562 33534 41607 48843 50301 55476 65124 67068 83214 97686 100602 124821 146529 166428 195372 201204 249642 293058 374463 499284 586116 748926 1123389 1497852 2246778 3370167 4493556 6740334 13480668