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10259388 = 22322931317
BaseRepresentation
bin100111001000…
…101110111100
3201022020020100
4213020232330
510111300023
61003521100
7153126516
oct47105674
921266210
1010259388
115878037
123529190
132182959
141510bb6
15d79c43
hex9c8bbc

10259388 has 72 divisors (see below), whose sum is σ = 27780480. Its totient is φ = 3185280.

The previous prime is 10259387. The next prime is 10259401. The reversal of 10259388 is 88395201.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (10259387) 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 23 ways as a sum of consecutive naturals, for example, 32206 + ... + 32522.

It is an arithmetic number, because the mean of its divisors is an integer number (385840).

Almost surely, 210259388 is an apocalyptic number.

10259388 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 10259388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890240).

10259388 is an abundant number, since it is smaller than the sum of its proper divisors (17521092).

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

10259388 is a wasteful number, since it uses less digits than its factorization.

10259388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 10259388 is about 3203.0279424320. The cubic root of 10259388 is about 217.2903727381.

The spelling of 10259388 in words is "ten million, two hundred fifty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 317 348 372 522 558 634 899 951 1044 1116 1268 1798 1902 2697 2853 3596 3804 5394 5706 8091 9193 9827 10788 11412 16182 18386 19654 27579 29481 32364 36772 39308 55158 58962 82737 88443 110316 117924 165474 176886 284983 330948 353772 569966 854949 1139932 1709898 2564847 3419796 5129694 10259388