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104052000 = 25353132329
BaseRepresentation
bin1100011001110…
…11010100100000
321020210101111210
412030323110200
5203114131000
614154110120
72402266413
oct614732440
9236711453
10104052000
1153809898
122aa1b340
1318731c40
14db67b7a
159205350
hex633b520

104052000 has 384 divisors, whose sum is σ = 396264960. Its totient is φ = 23654400.

The previous prime is 104051963. The next prime is 104052007. The reversal of 104052000 is 250401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104052007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3587986 + ... + 3588014.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2104052000 is an apocalyptic number.

104052000 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 104052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

104052000 is an abundant number, since it is smaller than the sum of its proper divisors (292212960).

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

104052000 is a wasteful number, since it uses less digits than its factorization.

104052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 104052000 is about 10200.5882183333. The cubic root of 104052000 is about 470.3453023077.

The spelling of 104052000 in words is "one hundred four million, fifty-two thousand".