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10244640 = 253573049
BaseRepresentation
bin100111000101…
…001000100000
3201021111000010
4213011020200
510110312030
61003324520
7153035520
oct47051040
921244003
1010244640
115867a4a
123520740
132179023
141509680
15d756b0
hex9c5220

10244640 has 96 divisors (see below), whose sum is σ = 36892800. Its totient is φ = 2340864.

The previous prime is 10244623. The next prime is 10244653. The reversal of 10244640 is 4644201.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1836 + ... + 4884.

It is an arithmetic number, because the mean of its divisors is an integer number (384300).

Almost surely, 210244640 is an apocalyptic number.

10244640 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 10244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446400).

10244640 is an abundant number, since it is smaller than the sum of its proper divisors (26648160).

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

10244640 is a wasteful number, since it uses less digits than its factorization.

10244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 10244640 is about 3200.7249178897. The cubic root of 10244640 is about 217.1862035877.

Adding to 10244640 its reverse (4644201), we get a palindrome (14888841).

It can be divided in two parts, 10 and 244640, that added together give a triangular number (244650 = T699).

The spelling of 10244640 in words is "ten million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3049 3360 6098 9147 12196 15245 18294 21343 24392 30490 36588 42686 45735 48784 60980 64029 73176 85372 91470 97568 106715 121960 128058 146352 170744 182940 213430 243920 256116 292704 320145 341488 365880 426860 487840 512232 640290 682976 731760 853720 1024464 1280580 1463520 1707440 2048928 2561160 3414880 5122320 10244640