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102053184 = 2633491523
BaseRepresentation
bin1100001010100…
…11010101000000
321010000211122120
412011103111000
5202111200214
614043204240
72346303102
oct605232500
9233024576
10102053184
1152674082
122a216680
13181b21cc
14d7a7572
158e5cea9
hex6153540

102053184 has 56 divisors (see below), whose sum is σ = 270967200. Its totient is φ = 33897984.

The previous prime is 102053153. The next prime is 102053191. The reversal of 102053184 is 481350201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 66247 + ... + 67769.

It is an arithmetic number, because the mean of its divisors is an integer number (4838700).

Almost surely, 2102053184 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 102053184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135483600).

102053184 is an abundant number, since it is smaller than the sum of its proper divisors (168914016).

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

102053184 is a wasteful number, since it uses less digits than its factorization.

102053184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 102053184 is about 10102.1375955785. The cubic root of 102053184 is about 467.3140656311.

The spelling of 102053184 in words is "one hundred two million, fifty-three thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 349 698 1047 1396 1523 2094 2792 3046 4188 4569 5584 6092 8376 9138 11168 12184 16752 18276 22336 24368 33504 36552 48736 67008 73104 97472 146208 292416 531527 1063054 1594581 2126108 3189162 4252216 6378324 8504432 12756648 17008864 25513296 34017728 51026592 102053184