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103000608 = 25321013541
BaseRepresentation
bin1100010001110…
…10101000100000
321011210222021100
412020322220200
5202332004413
614115354400
72360330214
oct610725040
9234728240
10103000608
1153160977
122a5b2a00
1318454509
14d972944
159098a73
hex623aa20

103000608 has 72 divisors (see below), whose sum is σ = 295891596. Its totient is φ = 33984000.

The previous prime is 103000561. The next prime is 103000613. The reversal of 103000608 is 806000301.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 6411024 = 9828^2 + 2532^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27318 + ... + 30858.

Almost surely, 2103000608 is an apocalyptic number.

103000608 is a gapful number since it is divisible by the number (18) 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 103000608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147945798).

103000608 is an abundant number, since it is smaller than the sum of its proper divisors (192890988).

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

103000608 is a wasteful number, since it uses less digits than its factorization.

103000608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103000608 is about 10148.9215190581. The cubic root of 103000608 is about 468.7557371031.

Adding to 103000608 its reverse (806000301), we get a palindrome (909000909).

The spelling of 103000608 in words is "one hundred three million, six hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3541 3636 4848 7082 7272 9696 10623 14164 14544 21246 28328 29088 31869 42492 56656 63738 84984 113312 127476 169968 254952 339936 357641 509904 715282 1019808 1072923 1430564 2145846 2861128 3218769 4291692 5722256 6437538 8583384 11444512 12875076 17166768 25750152 34333536 51500304 103000608