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103860090 = 23351991933
BaseRepresentation
bin1100011000011…
…00011101111010
321020102122021000
412030030131322
5203042010330
614150025430
72400540045
oct614143572
9236378230
10103860090
1153698694
122a948276
1318695799
14db17c5c
1591b8560
hex630c77a

103860090 has 64 divisors (see below), whose sum is σ = 278496000. Its totient is φ = 27542592.

The previous prime is 103860067. The next prime is 103860091. The reversal of 103860090 is 90068301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103860091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52764 + ... + 54696.

It is an arithmetic number, because the mean of its divisors is an integer number (4351500).

Almost surely, 2103860090 is an apocalyptic number.

103860090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103860090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139248000).

103860090 is an abundant number, since it is smaller than the sum of its proper divisors (174635910).

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

103860090 is a wasteful number, since it uses less digits than its factorization.

103860090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 103860090 is about 10191.1770664629. The cubic root of 103860090 is about 470.0559613463.

The spelling of 103860090 in words is "one hundred three million, eight hundred sixty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 199 270 398 597 995 1194 1791 1933 1990 2985 3582 3866 5373 5799 5970 8955 9665 10746 11598 17397 17910 19330 26865 28995 34794 52191 53730 57990 86985 104382 173970 260955 384667 521910 769334 1154001 1923335 2308002 3462003 3846670 5770005 6924006 10386009 11540010 17310015 20772018 34620030 51930045 103860090