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10107488 = 252331443
BaseRepresentation
bin100110100011…
…101001100000
3201000111212102
4212203221200
510041414423
61000345532
7151624616
oct46435140
921014772
1010107488
1157839a6
1234752a8
13212b781
1414b16b6
15d49c28
hex9a3a60

10107488 has 48 divisors (see below), whose sum is σ = 21482496. Its totient is φ = 4667520.

The previous prime is 10107473. The next prime is 10107499. The reversal of 10107488 is 88470101.

It is a super-2 number, since 2×101074882 = 204322627340288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10107488.

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, 22595 + ... + 23037.

It is an arithmetic number, because the mean of its divisors is an integer number (447552).

Almost surely, 210107488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10107488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741248).

10107488 is an abundant number, since it is smaller than the sum of its proper divisors (11375008).

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

10107488 is a wasteful number, since it uses less digits than its factorization.

10107488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 10107488 is about 3179.2275791456. The cubic root of 10107488 is about 216.2126392516.

Adding to 10107488 its reverse (88470101), we get a palindrome (98577589).

The spelling of 10107488 in words is "ten million, one hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 443 496 713 736 886 992 1426 1772 2852 3544 5704 7088 10189 11408 13733 14176 20378 22816 27466 40756 54932 81512 109864 163024 219728 315859 326048 439456 631718 1263436 2526872 5053744 10107488