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103000860 = 223254011427
BaseRepresentation
bin1100010001110…
…10101100011100
321011210222121200
412020322230130
5202332011420
614115355500
72360331024
oct610725434
9234728550
10103000860
1153161086
122a5b2b90
1318454671
14d972a84
159098b90
hex623ab1c

103000860 has 72 divisors (see below), whose sum is σ = 313434576. Its totient is φ = 27379200.

The previous prime is 103000853. The next prime is 103000861. The reversal of 103000860 is 68000301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103000861) 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 23 ways as a sum of consecutive naturals, for example, 71467 + ... + 72893.

It is an arithmetic number, because the mean of its divisors is an integer number (4353258).

Almost surely, 2103000860 is an apocalyptic number.

103000860 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 103000860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156717288).

103000860 is an abundant number, since it is smaller than the sum of its proper divisors (210433716).

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

103000860 is a wasteful number, since it uses less digits than its factorization.

103000860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1838 counting only the distinct ones).

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

The square root of 103000860 is about 10148.9339341627. The cubic root of 103000860 is about 468.7561193868.

The spelling of 103000860 in words is "one hundred three million, eight hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1427 1604 2005 2406 2854 3609 4010 4281 4812 5708 6015 7135 7218 8020 8562 12030 12843 14270 14436 17124 18045 21405 24060 25686 28540 36090 42810 51372 64215 72180 85620 128430 256860 572227 1144454 1716681 2288908 2861135 3433362 5150043 5722270 6866724 8583405 10300086 11444540 17166810 20600172 25750215 34333620 51500430 103000860