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13155984 = 2432103887
BaseRepresentation
bin110010001011…
…111010010000
3220202101121200
4302023322100
511331442414
61145551200
7216552432
oct62137220
926671550
1013155984
117476316
1244a5500
13295820a
141a66652
15124d109
hexc8be90

13155984 has 60 divisors (see below), whose sum is σ = 37217856. Its totient is φ = 4337856.

The previous prime is 13155959. The next prime is 13156001. The reversal of 13155984 is 48955131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14389 + ... + 15275.

Almost surely, 213155984 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 13155984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18608928).

13155984 is an abundant number, since it is smaller than the sum of its proper divisors (24061872).

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

13155984 is a wasteful number, since it uses less digits than its factorization.

13155984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 13155984 is about 3627.1178640899. The cubic root of 13155984 is about 236.0701696927.

The spelling of 13155984 in words is "thirteen million, one hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 144 206 309 412 618 824 887 927 1236 1648 1774 1854 2472 2661 3548 3708 4944 5322 7096 7416 7983 10644 14192 14832 15966 21288 31932 42576 63864 91361 127728 182722 274083 365444 548166 730888 822249 1096332 1461776 1644498 2192664 3288996 4385328 6577992 13155984