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10244900 = 2252531933
BaseRepresentation
bin100111000101…
…001100100100
3201021111100202
4213011030210
510110314100
61003330032
7153036341
oct47051444
921244322
1010244900
115868166
123520918
132179193
1415097c8
15d757d5
hex9c5324

10244900 has 36 divisors (see below), whose sum is σ = 22662612. Its totient is φ = 4018560.

The previous prime is 10244891. The next prime is 10244909. The reversal of 10244900 is 944201.

It is an interprime number because it is at equal distance from previous prime (10244891) and next prime (10244909).

It can be written as a sum of positive squares in 6 ways, for example, as 43264 + 10201636 = 208^2 + 3194^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10244909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4334 + ... + 6266.

It is an arithmetic number, because the mean of its divisors is an integer number (629517).

Almost surely, 210244900 is an apocalyptic number.

10244900 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 10244900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11331306).

10244900 is an abundant number, since it is smaller than the sum of its proper divisors (12417712).

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

10244900 is a wasteful number, since it uses less digits than its factorization.

10244900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10244900 is about 3200.7655334310. The cubic root of 10244900 is about 217.1880409041.

It can be divided in two parts, 1024 and 4900, that multiplied together give a square (5017600 = 22402).

The spelling of 10244900 in words is "ten million, two hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1933 2650 3866 5300 7732 9665 19330 38660 48325 96650 102449 193300 204898 409796 512245 1024490 2048980 2561225 5122450 10244900