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10380888 = 2332743479
BaseRepresentation
bin100111100110…
…011001011000
3201112101220100
4213212121120
510124142023
61010255400
7154143660
oct47463130
921471810
1010380888
115950351
123587560
1321c604b
1415431a0
15da0c43
hex9e6658

10380888 has 96 divisors (see below), whose sum is σ = 32947200. Its totient is φ = 2890944.

The previous prime is 10380883. The next prime is 10380907. The reversal of 10380888 is 88808301.

10380888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10380883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21433 + ... + 21911.

It is an arithmetic number, because the mean of its divisors is an integer number (343200).

Almost surely, 210380888 is an apocalyptic number.

10380888 is a gapful number since it is divisible by the number (18) 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 10380888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16473600).

10380888 is an abundant number, since it is smaller than the sum of its proper divisors (22566312).

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

10380888 is a wasteful number, since it uses less digits than its factorization.

10380888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10380888 is about 3221.9385469000. The cubic root of 10380888 is about 218.1447850024.

The spelling of 10380888 in words is "ten million, three hundred eighty thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 479 504 516 602 774 903 958 1032 1204 1437 1548 1806 1916 2408 2709 2874 3096 3353 3612 3832 4311 5418 5748 6706 7224 8622 10059 10836 11496 13412 17244 20118 20597 21672 26824 30177 34488 40236 41194 60354 61791 80472 82388 120708 123582 144179 164776 185373 241416 247164 288358 370746 432537 494328 576716 741492 865074 1153432 1297611 1482984 1730148 2595222 3460296 5190444 10380888