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13521984 = 263710061
BaseRepresentation
bin110011100101…
…010001000000
3221102222200020
4303211101000
511430200414
61201453440
7222635460
oct63452100
927388606
1013521984
1176a62a3
124641280
132a55998
141b1dba0
1512c17a9
hexce5440

13521984 has 56 divisors (see below), whose sum is σ = 40891968. Its totient is φ = 3863040.

The previous prime is 13521979. The next prime is 13522013. The reversal of 13521984 is 48912531.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3687 + ... + 6374.

Almost surely, 213521984 is an apocalyptic number.

13521984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13521984 is an abundant number, since it is smaller than the sum of its proper divisors (27369984).

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

13521984 is a wasteful number, since it uses less digits than its factorization.

13521984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10073 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 13521984 is about 3677.2250407066. The cubic root of 13521984 is about 238.2393374212.

The spelling of 13521984 in words is "thirteen million, five hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10061 20122 30183 40244 60366 70427 80488 120732 140854 160976 211281 241464 281708 321952 422562 482928 563416 643904 845124 965856 1126832 1690248 1931712 2253664 3380496 4507328 6760992 13521984