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13189260 = 22357311013
BaseRepresentation
bin110010010100…
…000010001100
3220211002021010
4302110002030
511334024020
61150405220
7220051440
oct62240214
926732233
1013189260
117499317
124500810
13296a3c6
141a74820
151257de0
hexc9408c

13189260 has 96 divisors (see below), whose sum is σ = 43610112. Its totient is φ = 2914560.

The previous prime is 13189259. The next prime is 13189271. The reversal of 13189260 is 6298131.

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 31 ways as a sum of consecutive naturals, for example, 12514 + ... + 13526.

It is an arithmetic number, because the mean of its divisors is an integer number (454272).

Almost surely, 213189260 is an apocalyptic number.

13189260 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 13189260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21805056).

13189260 is an abundant number, since it is smaller than the sum of its proper divisors (30420852).

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

13189260 is a wasteful number, since it uses less digits than its factorization.

13189260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13189260 is about 3631.7020802924. The cubic root of 13189260 is about 236.2690362870.

The spelling of 13189260 in words is "thirteen million, one hundred eighty-nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1013 1085 1302 1860 2026 2170 2604 3039 3255 4052 4340 5065 6078 6510 7091 10130 12156 13020 14182 15195 20260 21273 28364 30390 31403 35455 42546 60780 62806 70910 85092 94209 106365 125612 141820 157015 188418 212730 219821 314030 376836 425460 439642 471045 628060 659463 879284 942090 1099105 1318926 1884180 2198210 2637852 3297315 4396420 6594630 13189260