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13643084 = 22713371013
BaseRepresentation
bin110100000010…
…110101001100
3221200010210102
4310002311030
511443034314
61204230232
7223651520
oct64026514
927603712
1013643084
117779284
12469b378
132a98b40
141b51d80
1512e75de
hexd02d4c

13643084 has 48 divisors (see below), whose sum is σ = 30209088. Its totient is φ = 5246208.

The previous prime is 13643053. The next prime is 13643087. The reversal of 13643084 is 48034631.

It is a super-2 number, since 2×136430842 = 372267482062112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13643087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12962 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (629356).

Almost surely, 213643084 is an apocalyptic number.

13643084 is a gapful number since it is divisible by the number (14) 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 13643084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104544).

13643084 is an abundant number, since it is smaller than the sum of its proper divisors (16566004).

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

13643084 is a wasteful number, since it uses less digits than its factorization.

13643084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 13643084 is about 3693.6545588347. The cubic root of 13643084 is about 238.9484316534.

The spelling of 13643084 in words is "thirteen million, six hundred forty-three thousand, eighty-four".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 364 481 518 962 1013 1036 1924 2026 3367 4052 6734 7091 13169 13468 14182 26338 28364 37481 52676 74962 92183 149924 184366 262367 368732 487253 524734 974506 1049468 1949012 3410771 6821542 13643084