Search a number
-
+
10244100 = 2235234147
BaseRepresentation
bin100111000101…
…000000000100
3201021110021010
4213011000010
510110302400
61003322220
7153034116
oct47050004
921243233
1010244100
1158675a9
123520370
1321789c9
1415093b6
15d75450
hex9c5004

10244100 has 36 divisors (see below), whose sum is σ = 29640464. Its totient is φ = 2731680.

The previous prime is 10244089. The next prime is 10244107. The reversal of 10244100 is 144201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10244107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16774 + ... + 17373.

Almost surely, 210244100 is an apocalyptic number.

10244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10244100 is an abundant number, since it is smaller than the sum of its proper divisors (19396364).

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

10244100 is a wasteful number, since it uses less digits than its factorization.

10244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34164 (or 34157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10244100 is about 3200.6405608878. The cubic root of 10244100 is about 217.1823875235.

Adding to 10244100 its reverse (144201), we get a palindrome (10388301).

The spelling of 10244100 in words is "ten million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 34147 68294 102441 136588 170735 204882 341470 409764 512205 682940 853675 1024410 1707350 2048820 2561025 3414700 5122050 10244100