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10123900 = 2252293491
BaseRepresentation
bin100110100111…
…101001111100
3201001100101021
4212213221330
510042431100
61000553524
7152023513
oct46475174
921040337
1010123900
115795266
1234828a4
132136097
1414b767a
15d4ea1a
hex9a7a7c

10123900 has 36 divisors (see below), whose sum is σ = 22732920. Its totient is φ = 3908800.

The previous prime is 10123849. The next prime is 10123907. The reversal of 10123900 is 932101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123907) 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, 1155 + ... + 4645.

It is an arithmetic number, because the mean of its divisors is an integer number (631470).

Almost surely, 210123900 is an apocalyptic number.

10123900 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 10123900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366460).

10123900 is an abundant number, since it is smaller than the sum of its proper divisors (12609020).

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

10123900 is a wasteful number, since it uses less digits than its factorization.

10123900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3534 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10123900 is about 3181.8076623203. The cubic root of 10123900 is about 216.3296008203.

The spelling of 10123900 in words is "ten million, one hundred twenty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3491 6982 13964 17455 34910 69820 87275 101239 174550 202478 349100 404956 506195 1012390 2024780 2530975 5061950 10123900