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102081504 = 2537221701
BaseRepresentation
bin1100001010110…
…10001111100000
321010002021111110
412011122033200
5202113102004
614043543320
72346451500
oct605321740
9233067443
10102081504
1152693388
122a22ab40
13181c2075
14d7b3a00
158e66589
hex615a3e0

102081504 has 72 divisors (see below), whose sum is σ = 311727528. Its totient is φ = 29164800.

The previous prime is 102081503. The next prime is 102081517. The reversal of 102081504 is 405180201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102081503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6147 + ... + 15554.

It is an arithmetic number, because the mean of its divisors is an integer number (4329549).

Almost surely, 2102081504 is an apocalyptic number.

102081504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102081504 is an abundant number, since it is smaller than the sum of its proper divisors (209646024).

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

102081504 is a wasteful number, since it uses less digits than its factorization.

102081504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21728 (or 21713 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 102081504 is about 10103.5391818907. The cubic root of 102081504 is about 467.3572885528.

The spelling of 102081504 in words is "one hundred two million, eighty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 21701 43402 65103 86804 130206 151907 173608 260412 303814 347216 455721 520824 607628 694432 911442 1041648 1063349 1215256 1822884 2083296 2126698 2430512 3190047 3645768 4253396 4861024 6380094 7291536 8506792 12760188 14583072 17013584 25520376 34027168 51040752 102081504