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103080736 = 2511973019
BaseRepresentation
bin1100010010011…
…10001100100000
321011222001012001
412021032030200
5202342040421
614121213344
72361112633
oct611161440
9234861161
10103080736
11532060a0
122a631254
1318481b25
14d993c1a
1590b2691
hex624e320

103080736 has 48 divisors (see below), whose sum is σ = 223745760. Its totient is φ = 46356480.

The previous prime is 103080727. The next prime is 103080737. The reversal of 103080736 is 637080301.

It is not an unprimeable number, because it can be changed into a prime (103080737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32635 + ... + 35653.

It is an arithmetic number, because the mean of its divisors is an integer number (4661370).

Almost surely, 2103080736 is an apocalyptic number.

103080736 is a gapful number since it is divisible by the number (16) 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 103080736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111872880).

103080736 is an abundant number, since it is smaller than the sum of its proper divisors (120665024).

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

103080736 is a wasteful number, since it uses less digits than its factorization.

103080736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 103080736 is about 10152.8683631770. The cubic root of 103080736 is about 468.8772597645.

The spelling of 103080736 in words is "one hundred three million, eighty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 176 194 352 388 776 1067 1552 2134 3019 3104 4268 6038 8536 12076 17072 24152 33209 34144 48304 66418 96608 132836 265672 292843 531344 585686 1062688 1171372 2342744 3221273 4685488 6442546 9370976 12885092 25770184 51540368 103080736