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102041000 = 2353671523
BaseRepresentation
bin1100001010100…
…00010110101000
321010000012221022
412011100112220
5202110303000
614043032012
72346222425
oct605202650
9233005838
10102041000
1152665a06
122a20b608
13181a97b9
14d7a2d4c
158e59585
hex61505a8

102041000 has 64 divisors (see below), whose sum is σ = 242498880. Its totient is φ = 40180800.

The previous prime is 102040999. The next prime is 102041003. The reversal of 102041000 is 140201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102041003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66239 + ... + 67761.

It is an arithmetic number, because the mean of its divisors is an integer number (3789045).

Almost surely, 2102041000 is an apocalyptic number.

102041000 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 102041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

102041000 is an abundant number, since it is smaller than the sum of its proper divisors (140457880).

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

102041000 is a wasteful number, since it uses less digits than its factorization.

102041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

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

The square root of 102041000 is about 10101.5345368909. The cubic root of 102041000 is about 467.2954675467.

Adding to 102041000 its reverse (140201), we get a palindrome (102181201).

The spelling of 102041000 in words is "one hundred two million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1523 1675 2680 3046 3350 6092 6700 7615 8375 12184 13400 15230 16750 30460 33500 38075 60920 67000 76150 102041 152300 190375 204082 304600 380750 408164 510205 761500 816328 1020410 1523000 2040820 2551025 4081640 5102050 10204100 12755125 20408200 25510250 51020500 102041000