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102054520 = 23589109263
BaseRepresentation
bin1100001010100…
…11101001111000
321010000220111001
412011103221320
5202111221040
614043214344
72346310021
oct605235170
9233026431
10102054520
1152675087
122a2173b4
13181b29b9
14d7a7c48
158e5d59a
hex6153a78

102054520 has 64 divisors (see below), whose sum is σ = 235224000. Its totient is φ = 39840768.

The previous prime is 102054517. The next prime is 102054527. The reversal of 102054520 is 25450201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102054527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387909 + ... + 388171.

It is an arithmetic number, because the mean of its divisors is an integer number (3675375).

Almost surely, 2102054520 is an apocalyptic number.

102054520 is a gapful number since it is divisible by the number (10) 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 102054520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117612000).

102054520 is an abundant number, since it is smaller than the sum of its proper divisors (133169480).

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

102054520 is a wasteful number, since it uses less digits than its factorization.

102054520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 102054520 is about 10102.2037199811. The cubic root of 102054520 is about 467.3161048583.

The spelling of 102054520 in words is "one hundred two million, fifty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 109 178 218 263 356 436 445 526 545 712 872 890 1052 1090 1315 1780 2104 2180 2630 3560 4360 5260 9701 10520 19402 23407 28667 38804 46814 48505 57334 77608 93628 97010 114668 117035 143335 187256 194020 229336 234070 286670 388040 468140 573340 936280 1146680 2551363 5102726 10205452 12756815 20410904 25513630 51027260 102054520