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10094800 = 245225237
BaseRepresentation
bin100110100000…
…100011010000
3200222212110111
4212200203100
510041013200
61000211104
7151542622
oct46404320
920885414
1010094800
115775411
123469a94
132125a71
1414aac12
15d460ba
hex9a08d0

10094800 has 30 divisors (see below), whose sum is σ = 24253718. Its totient is φ = 4037760.

The previous prime is 10094797. The next prime is 10094807. The reversal of 10094800 is 849001.

It can be written as a sum of positive squares in 3 ways, for example, as 1498176 + 8596624 = 1224^2 + 2932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10094807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12219 + ... + 13018.

Almost surely, 210094800 is an apocalyptic number.

10094800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10094800 is an abundant number, since it is smaller than the sum of its proper divisors (14158918).

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

10094800 is a wasteful number, since it uses less digits than its factorization.

10094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25255 (or 25244 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10094800 is about 3177.2314992773. The cubic root of 10094800 is about 216.1221302922.

The spelling of 10094800 in words is "ten million, ninety-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25237 50474 100948 126185 201896 252370 403792 504740 630925 1009480 1261850 2018960 2523700 5047400 10094800