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10422240 = 253521713
BaseRepresentation
bin100111110000…
…011111100000
3201121111121220
4213300133200
510132002430
61011215040
7154405353
oct47603740
921544556
1010422240
115979424
1235a7480
13220bb0a
14155429a
15dad110
hex9f07e0

10422240 has 48 divisors (see below), whose sum is σ = 32831568. Its totient is φ = 2779136.

The previous prime is 10422239. The next prime is 10422259. The reversal of 10422240 is 4222401.

10422240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 10377 + ... + 11336.

It is an arithmetic number, because the mean of its divisors is an integer number (683991).

Almost surely, 210422240 is an apocalyptic number.

10422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422240 is an abundant number, since it is smaller than the sum of its proper divisors (22409328).

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

10422240 is a wasteful number, since it uses less digits than its factorization.

10422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21731 (or 21723 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10422240 is about 3228.3494234670. The cubic root of 10422240 is about 218.4340592805.

Adding to 10422240 its reverse (4222401), we get a palindrome (14644641).

The spelling of 10422240 in words is "ten million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21713 43426 65139 86852 108565 130278 173704 217130 260556 325695 347408 434260 521112 651390 694816 868520 1042224 1302780 1737040 2084448 2605560 3474080 5211120 10422240