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13641048 = 23362339
BaseRepresentation
bin110100000010…
…010101011000
3221200001000000
4310002111120
511443003143
61204213000
7223642551
oct64022530
927601000
1013641048
1177777a3
12469a160
132a97c35
141b51328
1512e6bd3
hexd02558

13641048 has 56 divisors (see below), whose sum is σ = 38364300. Its totient is φ = 4545072.

The previous prime is 13641041. The next prime is 13641073. The reversal of 13641048 is 84014631.

13641048 is a `hidden beast` number, since 13 + 641 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641041) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4663 + ... + 7001.

Almost surely, 213641048 is an apocalyptic number.

13641048 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 13641048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19182150).

13641048 is an abundant number, since it is smaller than the sum of its proper divisors (24723252).

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

13641048 is an equidigital number, since it uses as much as digits as its factorization.

13641048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13641048 is about 3693.3789407533. The cubic root of 13641048 is about 238.9365447220.

Adding to 13641048 its reverse (84014631), we get a palindrome (97655679).

The spelling of 13641048 in words is "thirteen million, six hundred forty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2339 2916 4678 5832 7017 9356 14034 18712 21051 28068 42102 56136 63153 84204 126306 168408 189459 252612 378918 505224 568377 757836 1136754 1515672 1705131 2273508 3410262 4547016 6820524 13641048