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10896480 = 2532572347
BaseRepresentation
bin101001100100…
…010001100000
3202111121011100
4221210101200
510242141410
61025314400
7161422110
oct51442140
922447140
1010896480
116172761
123795a00
13234692a
141639040
15e538c0
hexa64460

10896480 has 288 divisors, whose sum is σ = 45287424. Its totient is φ = 2331648.

The previous prime is 10896467. The next prime is 10896493. The reversal of 10896480 is 8469801.

It is a happy number.

10896480 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10896467) and next prime (10896493).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231817 + ... + 231863.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 210896480 is an apocalyptic number.

10896480 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 10896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712).

10896480 is an abundant number, since it is smaller than the sum of its proper divisors (34390944).

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

10896480 is a wasteful number, since it uses less digits than its factorization.

10896480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10896480 is about 3300.9816721697. The cubic root of 10896480 is about 221.6981532022.

It can be divided in two parts, 1089 and 6480, that added together give a square (7569 = 872).

The spelling of 10896480 in words is "ten million, eight hundred ninety-six thousand, four hundred eighty".