Search a number
-
+
10292240 = 245718379
BaseRepresentation
bin100111010000…
…110000010000
3201100220022002
4213100300100
510113322430
61004333132
7153324350
oct47206020
921326262
1010292240
11589a792
1235441a8
1321948aa
14151cb60
15d84845
hex9d0c10

10292240 has 40 divisors (see below), whose sum is σ = 27349440. Its totient is φ = 3528576.

The previous prime is 10292239. The next prime is 10292251. The reversal of 10292240 is 4229201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8630 + ... + 9749.

It is an arithmetic number, because the mean of its divisors is an integer number (683736).

Almost surely, 210292240 is an apocalyptic number.

10292240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10292240 is an abundant number, since it is smaller than the sum of its proper divisors (17057200).

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

10292240 is a wasteful number, since it uses less digits than its factorization.

10292240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18399 (or 18393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10292240 is about 3208.1521160942. The cubic root of 10292240 is about 217.5220570400.

The spelling of 10292240 in words is "ten million, two hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18379 36758 73516 91895 128653 147032 183790 257306 294064 367580 514612 643265 735160 1029224 1286530 1470320 2058448 2573060 5146120 10292240