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102453040 = 2452355681
BaseRepresentation
bin1100001101101…
…00111100110000
321010210011011001
412012310330300
5202211444130
614055531344
72352556624
oct606647460
9233704131
10102453040
1152917538
122a389b54
13182c2201
14d86d184
158edb6ca
hex61b4f30

102453040 has 40 divisors (see below), whose sum is σ = 248564448. Its totient is φ = 39198720.

The previous prime is 102453007. The next prime is 102453061. The reversal of 102453040 is 40354201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 102452999 and 102453017.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26001 + ... + 29680.

Almost surely, 2102453040 is an apocalyptic number.

102453040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102453040 is an abundant number, since it is smaller than the sum of its proper divisors (146111408).

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

102453040 is a wasteful number, since it uses less digits than its factorization.

102453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55717 (or 55711 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 102453040 is about 10121.9089108725. The cubic root of 102453040 is about 467.9236001616.

The spelling of 102453040 in words is "one hundred two million, four hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 55681 111362 222724 278405 445448 556810 890896 1113620 1280663 2227240 2561326 4454480 5122652 6403315 10245304 12806630 20490608 25613260 51226520 102453040