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102040000 = 26542551
BaseRepresentation
bin1100001010100…
…00000111000000
321010000011120021
412011100013000
5202110240000
614043023224
72346216466
oct605200700
9233004507
10102040000
1152665187
122a20ab14
13181a91ca
14d7a2836
158e5911a
hex61501c0

102040000 has 70 divisors (see below), whose sum is σ = 253125224. Its totient is φ = 40800000.

The previous prime is 102039991. The next prime is 102040027. The reversal of 102040000 is 40201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38725 + ... + 41275.

Almost surely, 2102040000 is an apocalyptic number.

102040000 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 102040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126562612).

102040000 is an abundant number, since it is smaller than the sum of its proper divisors (151085224).

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

102040000 is an frugal number, since it uses more digits than its factorization.

102040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 102040000 is about 10101.4850393395. The cubic root of 102040000 is about 467.2939410460.

Adding to 102040000 its reverse (40201), we get a palindrome (102080201).

The spelling of 102040000 in words is "one hundred two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2551 4000 5000 5102 8000 10000 10204 12755 20000 20408 25510 40000 40816 51020 63775 81632 102040 127550 163264 204080 255100 318875 408160 510200 637750 816320 1020400 1275500 1594375 2040800 2551000 3188750 4081600 5102000 6377500 10204000 12755000 20408000 25510000 51020000 102040000