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103020 = 223517101
BaseRepresentation
bin11001001001101100
312020022120
4121021230
511244040
62112540
7606231
oct311154
9166276
10103020
1170445
124b750
1337b78
1429788
15207d0
hex1926c

103020 has 48 divisors (see below), whose sum is σ = 308448. Its totient is φ = 25600.

The previous prime is 103007. The next prime is 103043. The reversal of 103020 is 20301.

It is a super-2 number, since 2×1030202 = 21226240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

103020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

2103020 is an apocalyptic number.

103020 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 103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224).

103020 is an abundant number, since it is smaller than the sum of its proper divisors (205428).

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

103020 is a wasteful number, since it uses less digits than its factorization.

103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 103020 is about 320.9672880528. The cubic root of 103020 is about 46.8785152919.

Adding to 103020 its reverse (20301), we get a palindrome (123321).

The spelling of 103020 in words is "one hundred three thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 303 340 404 505 510 606 1010 1020 1212 1515 1717 2020 3030 3434 5151 6060 6868 8585 10302 17170 20604 25755 34340 51510 103020