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10122440 = 235192701
BaseRepresentation
bin100110100111…
…010011001000
3201001021101012
4212213103020
510042404230
61000543052
7152016326
oct46472310
921037335
1010122440
115794159
123481a88
132135513
1414b6d16
15d4e395
hex9a74c8

10122440 has 48 divisors (see below), whose sum is σ = 24071580. Its totient is φ = 3830400.

The previous prime is 10122439. The next prime is 10122457. The reversal of 10122440 is 4422101.

It can be written as a sum of positive squares in 2 ways, for example, as 9947716 + 174724 = 3154^2 + 418^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14090 + ... + 14790.

Almost surely, 210122440 is an apocalyptic number.

10122440 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 10122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12035790).

10122440 is an abundant number, since it is smaller than the sum of its proper divisors (13949140).

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

10122440 is a wasteful number, since it uses less digits than its factorization.

10122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10122440 is about 3181.5782247180. The cubic root of 10122440 is about 216.3192011258.

Adding to 10122440 its reverse (4422101), we get a palindrome (14544541).

The spelling of 10122440 in words is "ten million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 701 722 760 1402 1444 1805 2804 2888 3505 3610 5608 7010 7220 13319 14020 14440 26638 28040 53276 66595 106552 133190 253061 266380 506122 532760 1012244 1265305 2024488 2530610 5061220 10122440