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100704240 = 243257132953
BaseRepresentation
bin1100000000010…
…01111111110000
321000111022020200
412000021333300
5201240013430
613554235200
72331654240
oct600117760
9230438220
10100704240
115193264a
1229885b00
1317b2c210
14d535b20
158c93460
hex6009ff0

100704240 has 480 divisors, whose sum is σ = 438721920. Its totient is φ = 20127744.

The previous prime is 100704239. The next prime is 100704251. The reversal of 100704240 is 42407001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900054 + ... + 1900106.

It is an arithmetic number, because the mean of its divisors is an integer number (914004).

Almost surely, 2100704240 is an apocalyptic number.

100704240 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 100704240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

100704240 is an abundant number, since it is smaller than the sum of its proper divisors (338017680).

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

100704240 is a wasteful number, since it uses less digits than its factorization.

100704240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 100704240 is about 10035.1502230908. The cubic root of 100704240 is about 465.2459330347.

The spelling of 100704240 in words is "one hundred million, seven hundred four thousand, two hundred forty".