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13945596 = 2237237641
BaseRepresentation
bin110101001100…
…101011111100
3222020111202120
4311030223330
512032224341
61214522540
7226351500
oct65145374
928214676
1013945596
117965595
124806450
132b73742
141bd0300
151357066
hexd4cafc

13945596 has 72 divisors (see below), whose sum is σ = 38936016. Its totient is φ = 3870720.

The previous prime is 13945573. The next prime is 13945597. The reversal of 13945596 is 69554931.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21436 + ... + 22076.

It is an arithmetic number, because the mean of its divisors is an integer number (540778).

Almost surely, 213945596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13945596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468008).

13945596 is an abundant number, since it is smaller than the sum of its proper divisors (24990420).

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

13945596 is a wasteful number, since it uses less digits than its factorization.

13945596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 13945596 is about 3734.3802698708. The cubic root of 13945596 is about 240.7016273859.

It can be divided in two parts, 13945 and 596, that added together give a palindrome (14541).

The spelling of 13945596 in words is "thirteen million, nine hundred forty-five thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 641 777 1036 1282 1554 1813 1923 2564 3108 3626 3846 4487 5439 7252 7692 8974 10878 13461 17948 21756 23717 26922 31409 47434 53844 62818 71151 94227 94868 125636 142302 166019 188454 284604 332038 376908 498057 664076 996114 1162133 1992228 2324266 3486399 4648532 6972798 13945596