Search a number
-
+
103392200 = 23527192
BaseRepresentation
bin1100010100110…
…10001111001000
321012112212102202
412022122033020
5202432022300
614132015332
72363550662
oct612321710
9235485382
10103392200
11533a90aa
122a761548
1318560822
14da35532
159124ad5
hex629a3c8

103392200 has 36 divisors (see below), whose sum is σ = 240721665. Its totient is φ = 41299360.

The previous prime is 103392139. The next prime is 103392209. The reversal of 103392200 is 2293301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 101324356 + 2067844 = 10066^2 + 1438^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7190.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (103392209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143441 + ... + 144159.

Almost surely, 2103392200 is an apocalyptic number.

103392200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103392200 is an abundant number, since it is smaller than the sum of its proper divisors (137329465).

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

103392200 is an frugal number, since it uses more digits than its factorization.

103392200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 103392200 is about 10168.1955134626. The cubic root of 103392200 is about 469.3490308936.

The spelling of 103392200 in words is "one hundred three million, three hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 719 1438 2876 3595 5752 7190 14380 17975 28760 35950 71900 143800 516961 1033922 2067844 2584805 4135688 5169610 10339220 12924025 20678440 25848050 51696100 103392200