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13193180 = 22571113659
BaseRepresentation
bin110010010100…
…111111011100
3220211021122022
4302110333130
511334140210
61150435312
7220066040
oct62247734
926737568
1013193180
1174a1260
124502b38
13296c120
141a76020
151259155
hexc94fdc

13193180 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 3790080.

The previous prime is 13193179. The next prime is 13193189. The reversal of 13193180 is 8139131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13193189) 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, 19691 + ... + 20349.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 213193180 is an apocalyptic number.

13193180 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 13193180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

13193180 is an abundant number, since it is smaller than the sum of its proper divisors (24062500).

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

13193180 is a wasteful number, since it uses less digits than its factorization.

13193180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 13193180 is about 3632.2417320437. The cubic root of 13193180 is about 236.2924412614.

The spelling of 13193180 in words is "thirteen million, one hundred ninety-three thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 659 715 770 910 1001 1318 1430 1540 1820 2002 2636 2860 3295 4004 4613 5005 6590 7249 8567 9226 10010 13180 14498 17134 18452 20020 23065 28996 34268 36245 42835 46130 50743 59969 72490 85670 92260 94237 101486 119938 144980 171340 188474 202972 239876 253715 299845 376948 471185 507430 599690 659659 942370 1014860 1199380 1319318 1884740 2638636 3298295 6596590 13193180