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13641992 = 2372132677
BaseRepresentation
bin110100000010…
…100100001000
3221200002021222
4310002210020
511443020432
61204221212
7223645400
oct64024410
927602258
1013641992
117778481
12469a808
132a984b0
141b51800
1512e7112
hexd02908

13641992 has 48 divisors (see below), whose sum is σ = 32055660. Its totient is φ = 5394816.

The previous prime is 13641989. The next prime is 13642001. The reversal of 13641992 is 29914631.

It can be written as a sum of positive squares in 2 ways, for example, as 10278436 + 3363556 = 3206^2 + 1834^2 .

It is a super-2 number, since 2×136419922 = 372207891456128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3758 + ... + 6434.

Almost surely, 213641992 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 13641992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16027830).

13641992 is an abundant number, since it is smaller than the sum of its proper divisors (18413668).

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

13641992 is a wasteful number, since it uses less digits than its factorization.

13641992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2699 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The square root of 13641992 is about 3693.5067347982. The cubic root of 13641992 is about 238.9420562950.

The spelling of 13641992 in words is "thirteen million, six hundred forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 2677 5096 5354 10708 18739 21416 34801 37478 69602 74956 131173 139204 149912 243607 262346 278408 487214 524692 974428 1049384 1705249 1948856 3410498 6820996 13641992