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103016820 = 22354339929
BaseRepresentation
bin1100010001111…
…10100101110100
321011211210111210
412020332211310
5202333014240
614120001420
72360425404
oct610764564
9234753453
10103016820
1153172075
122a600270
131845b9ca
14d978804
15909d780
hex623e974

103016820 has 48 divisors (see below), whose sum is σ = 295162560. Its totient is φ = 26831616.

The previous prime is 103016807. The next prime is 103016833. The reversal of 103016820 is 28610301.

It is an interprime number because it is at equal distance from previous prime (103016807) and next prime (103016833).

It is a super-2 number, since 2×1030168202 = 21224930405824800, which contains 22 as substring.

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, 17385 + ... + 22544.

It is an arithmetic number, because the mean of its divisors is an integer number (6149220).

Almost surely, 2103016820 is an apocalyptic number.

103016820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103016820 is an abundant number, since it is smaller than the sum of its proper divisors (192145740).

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

103016820 is a wasteful number, since it uses less digits than its factorization.

103016820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39984 (or 39982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 103016820 is about 10149.7201931876. The cubic root of 103016820 is about 468.7803294153.

The spelling of 103016820 in words is "one hundred three million, sixteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 39929 79858 119787 159716 199645 239574 399290 479148 598935 798580 1197870 1716947 2395740 3433894 5150841 6867788 8584735 10301682 17169470 20603364 25754205 34338940 51508410 103016820