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10438890 = 2357114519
BaseRepresentation
bin100111110100…
…100011101010
3201122100110120
4213310203222
510133021030
61011424110
7154505040
oct47644352
921570416
1010438890
11598a990
1235b5036
132216577
14155a390
15db3010
hex9f48ea

10438890 has 64 divisors (see below), whose sum is σ = 31242240. Its totient is φ = 2168640.

The previous prime is 10438889. The next prime is 10438891. The reversal of 10438890 is 9883401.

It is an interprime number because it is at equal distance from previous prime (10438889) and next prime (10438891).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10438891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51 + ... + 4569.

It is an arithmetic number, because the mean of its divisors is an integer number (488160).

Almost surely, 210438890 is an apocalyptic number.

10438890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15621120).

10438890 is an abundant number, since it is smaller than the sum of its proper divisors (20803350).

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

10438890 is a wasteful number, since it uses less digits than its factorization.

10438890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10438890 is about 3230.9271115270. The cubic root of 10438890 is about 218.5503168248.

The spelling of 10438890 in words is "ten million, four hundred thirty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 4519 9038 13557 22595 27114 31633 45190 49709 63266 67785 94899 99418 135570 149127 158165 189798 248545 298254 316330 347963 474495 497090 695926 745635 948990 1043889 1491270 1739815 2087778 3479630 5219445 10438890