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103475680 = 25571137227
BaseRepresentation
bin1100010101011…
…10100111100000
321012201002221121
412022232213200
5202442210210
614133502024
72364346240
oct612564740
9235632847
10103475680
11534558a0
122a7a1914
131858c819
14da57b20
15913e6da
hex62ae9e0

103475680 has 192 divisors, whose sum is σ = 314399232. Its totient is φ = 31242240.

The previous prime is 103475657. The next prime is 103475681. The reversal of 103475680 is 86574301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103475681) 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, 455727 + ... + 455953.

It is an arithmetic number, because the mean of its divisors is an integer number (1637496).

Almost surely, 2103475680 is an apocalyptic number.

103475680 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 103475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157199616).

103475680 is an abundant number, since it is smaller than the sum of its proper divisors (210923552).

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

103475680 is a wasteful number, since it uses less digits than its factorization.

103475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 103475680 is about 10172.2996416740. The cubic root of 103475680 is about 469.4753161024.

The spelling of 103475680 in words is "one hundred three million, four hundred seventy-five thousand, six hundred eighty".