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104415360 = 2735717457
BaseRepresentation
bin1100011100101…
…00000010000000
321021110211221120
412032110002000
5203212242420
614205552240
72405341650
oct616240200
9237424846
10104415360
1153a37895
122ab75680
131882b44a
14dc20360
159277d40
hex6394080

104415360 has 256 divisors, whose sum is σ = 403626240. Its totient is φ = 22413312.

The previous prime is 104415349. The next prime is 104415371. The reversal of 104415360 is 63514401.

It is an interprime number because it is at equal distance from previous prime (104415349) and next prime (104415371).

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 104415360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228252 + ... + 228708.

It is an arithmetic number, because the mean of its divisors is an integer number (1576665).

Almost surely, 2104415360 is an apocalyptic number.

104415360 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 104415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201813120).

104415360 is an abundant number, since it is smaller than the sum of its proper divisors (299210880).

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

104415360 is a wasteful number, since it uses less digits than its factorization.

104415360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 104415360 is about 10218.3834337923. The cubic root of 104415360 is about 470.8921638621.

Adding to 104415360 its reverse (63514401), we get a palindrome (167929761).

The spelling of 104415360 in words is "one hundred four million, four hundred fifteen thousand, three hundred sixty".