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103057060 = 22517614969
BaseRepresentation
bin1100010010010…
…00011010100100
321011220211201011
412021020122210
5202340311220
614120512004
72360653621
oct611103244
9234824634
10103057060
115319a327
122a61b604
1318474112
14d989348
1590aa65a
hex62486a4

103057060 has 48 divisors (see below), whose sum is σ = 232953840. Its totient is φ = 38154240.

The previous prime is 103057057. The next prime is 103057079. The reversal of 103057060 is 60750301.

It can be written as a sum of positive squares in 8 ways, for example, as 14546596 + 88510464 = 3814^2 + 9408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18256 + ... + 23224.

It is an arithmetic number, because the mean of its divisors is an integer number (4853205).

Almost surely, 2103057060 is an apocalyptic number.

103057060 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 103057060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116476920).

103057060 is an abundant number, since it is smaller than the sum of its proper divisors (129896780).

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

103057060 is a wasteful number, since it uses less digits than its factorization.

103057060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 103057060 is about 10151.7023203008. The cubic root of 103057060 is about 468.8413591411.

The spelling of 103057060 in words is "one hundred three million, fifty-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 2074 4148 4969 5185 9938 10370 19876 20740 24845 49690 84473 99380 168946 303109 337892 422365 606218 844730 1212436 1515545 1689460 3031090 5152853 6062180 10305706 20611412 25764265 51528530 103057060