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103388200 = 23521393719
BaseRepresentation
bin1100010100110…
…01010000101000
321012112122221121
412022121100220
5202431410300
614131545024
72363533216
oct612312050
9235478847
10103388200
11533a60a3
122a75b174
131855ba66
14da33cb6
15912381a
hex6299428

103388200 has 48 divisors (see below), whose sum is σ = 242172000. Its totient is φ = 41046720.

The previous prime is 103388191. The next prime is 103388239. The reversal of 103388200 is 2883301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25941 + ... + 29659.

It is an arithmetic number, because the mean of its divisors is an integer number (5045250).

Almost surely, 2103388200 is an apocalyptic number.

103388200 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 103388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086000).

103388200 is an abundant number, since it is smaller than the sum of its proper divisors (138783800).

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

103388200 is a wasteful number, since it uses less digits than its factorization.

103388200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 103388200 is about 10167.9988198268. The cubic root of 103388200 is about 469.3429781470.

The spelling of 103388200 in words is "one hundred three million, three hundred eighty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1112 1390 2780 3475 3719 5560 6950 7438 13900 14876 18595 27800 29752 37190 74380 92975 148760 185950 371900 516941 743800 1033882 2067764 2584705 4135528 5169410 10338820 12923525 20677640 25847050 51694100 103388200