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104526240 = 25357132393
BaseRepresentation
bin1100011101011…
…11000110100000
321021200111001020
412032233012200
5203224314430
614212205440
72406313140
oct616570640
9237614036
10104526240
1154003125
122b009880
1318869a60
14dc4c920
15929ab10
hex63af1a0

104526240 has 192 divisors, whose sum is σ = 405409536. Its totient is φ = 22044672.

The previous prime is 104526223. The next prime is 104526241. The reversal of 104526240 is 42625401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104526240.

It is not an unprimeable number, because it can be changed into a prime (104526241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42484 + ... + 44876.

It is an arithmetic number, because the mean of its divisors is an integer number (2111508).

Almost surely, 2104526240 is an apocalyptic number.

104526240 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 104526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202704768).

104526240 is an abundant number, since it is smaller than the sum of its proper divisors (300883296).

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

104526240 is a wasteful number, since it uses less digits than its factorization.

104526240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 104526240 is about 10223.8075099251. The cubic root of 104526240 is about 471.0587870240.

The spelling of 104526240 in words is "one hundred four million, five hundred twenty-six thousand, two hundred forty".