Search a number
-
+
10244136 = 2337231281
BaseRepresentation
bin100111000101…
…000000101000
3201021110022110
4213011000220
510110303021
61003322320
7153034200
oct47050050
921243273
1010244136
115867631
1235203a0
132178a26
141509400
15d75476
hex9c5028

10244136 has 96 divisors (see below), whose sum is σ = 30862080. Its totient is φ = 2822400.

The previous prime is 10244123. The next prime is 10244141. The reversal of 10244136 is 63144201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36316 + ... + 36596.

It is an arithmetic number, because the mean of its divisors is an integer number (321480).

Almost surely, 210244136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431040).

10244136 is an abundant number, since it is smaller than the sum of its proper divisors (20617944).

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

10244136 is a wasteful number, since it uses less digits than its factorization.

10244136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10244136 is about 3200.6461847571. The cubic root of 10244136 is about 217.1826419319.

Adding to 10244136 its reverse (63144201), we get a palindrome (73388337).

The spelling of 10244136 in words is "ten million, two hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 281 294 372 392 434 562 588 651 744 843 868 1124 1176 1302 1519 1686 1736 1967 2248 2604 3038 3372 3934 4557 5208 5901 6076 6744 7868 8711 9114 11802 12152 13769 15736 17422 18228 23604 26133 27538 34844 36456 41307 47208 52266 55076 60977 69688 82614 104532 110152 121954 165228 182931 209064 243908 330456 365862 426839 487816 731724 853678 1280517 1463448 1707356 2561034 3414712 5122068 10244136