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13800984 = 2332979251
BaseRepresentation
bin110100101001…
…011000011000
3221222011101120
4310221120120
512013112414
61211445240
7225210051
oct64513030
927864346
1013800984
11787697a
124756820
132b22982
141b93728
1513292a9
hexd29618

13800984 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4368000.

The previous prime is 13800953. The next prime is 13801003. The reversal of 13800984 is 48900831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54859 + ... + 55109.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 213800984 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 13800984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

13800984 is an abundant number, since it is smaller than the sum of its proper divisors (22487016).

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

13800984 is a wasteful number, since it uses less digits than its factorization.

13800984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13800984 is about 3714.9675637884. The cubic root of 13800984 is about 239.8667315673.

The spelling of 13800984 in words is "thirteen million, eight hundred thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 79 87 116 158 174 232 237 251 316 348 474 502 632 696 753 948 1004 1506 1896 2008 2291 3012 4582 6024 6873 7279 9164 13746 14558 18328 19829 21837 27492 29116 39658 43674 54984 58232 59487 79316 87348 118974 158632 174696 237948 475896 575041 1150082 1725123 2300164 3450246 4600328 6900492 13800984