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103808020 = 22519436353
BaseRepresentation
bin1100010111111…
…11110000010100
321020022222211111
412023333300110
5203033324040
614144544404
72400232201
oct613776024
9236288744
10103808020
1153662558
122a922104
1318677b84
14db02ca8
1591a7dea
hex62ffc14

103808020 has 48 divisors (see below), whose sum is σ = 234843840. Its totient is φ = 38416896.

The previous prime is 103808011. The next prime is 103808053. The reversal of 103808020 is 20808301.

It is a super-2 number, since 2×1038080202 = 21552210032640800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103807982 and 103808000.

It is a congruent number.

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, 13164 + ... + 19516.

It is an arithmetic number, because the mean of its divisors is an integer number (4892580).

Almost surely, 2103808020 is an apocalyptic number.

103808020 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 103808020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117421920).

103808020 is an abundant number, since it is smaller than the sum of its proper divisors (131035820).

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

103808020 is a wasteful number, since it uses less digits than its factorization.

103808020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 103808020 is about 10188.6220854441. The cubic root of 103808020 is about 469.9773944160.

The spelling of 103808020 in words is "one hundred three million, eight hundred eight thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1634 3268 4085 6353 8170 12706 16340 25412 31765 63530 120707 127060 241414 273179 482828 546358 603535 1092716 1207070 1365895 2414140 2731790 5190401 5463580 10380802 20761604 25952005 51904010 103808020