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10294240 = 255115849
BaseRepresentation
bin100111010001…
…001111100000
3201101000001011
4213101033200
510113403430
61004350304
7153333235
oct47211740
921330034
1010294240
1158a1240
123545394
132195788
14151d78c
15d8522a
hex9d13e0

10294240 has 48 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 3742720.

The previous prime is 10294213. The next prime is 10294247. The reversal of 10294240 is 4249201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10294247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1165 + ... + 4684.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 210294240 is an apocalyptic number.

10294240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10294240 is an abundant number, since it is smaller than the sum of its proper divisors (16241360).

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

10294240 is a wasteful number, since it uses less digits than its factorization.

10294240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10294240 is about 3208.4638068708. The cubic root of 10294240 is about 217.5361458401.

The spelling of 10294240 in words is "ten million, two hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 5849 11698 23396 29245 46792 58490 64339 93584 116980 128678 187168 233960 257356 321695 467920 514712 643390 935840 1029424 1286780 2058848 2573560 5147120 10294240