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104155380 = 2232574241
BaseRepresentation
bin1100011010101…
…00100011110100
321020222122022200
412031110203310
5203130433010
614200224500
72403210000
oct615244364
9236878280
10104155380
115387a52a
122aa6b130
131876a004
14db93700
159225cc0
hex63548f4

104155380 has 180 divisors, whose sum is σ = 370101732. Its totient is φ = 23708160.

The previous prime is 104155369. The next prime is 104155391. The reversal of 104155380 is 83551401.

104155380 is a `hidden beast` number, since 104 + 1 + 553 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104155369) and next prime (104155391).

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 45724644 = 7644^2 + 6762^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 432060 + ... + 432300.

Almost surely, 2104155380 is an apocalyptic number.

104155380 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 104155380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185050866).

104155380 is an abundant number, since it is smaller than the sum of its proper divisors (265946352).

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

104155380 is a wasteful number, since it uses less digits than its factorization.

104155380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 104155380 is about 10205.6543151334. The cubic root of 104155380 is about 470.5010199707.

The spelling of 104155380 in words is "one hundred four million, one hundred fifty-five thousand, three hundred eighty".