Search a number
-
+
10259208 = 2332891601
BaseRepresentation
bin100111001000…
…101100001000
3201022012222200
4213020230020
510111243313
61003520200
7153126141
oct47105410
921265880
1010259208
115877993
123529060
13218284b
141510ac8
15d79b73
hex9c8b08

10259208 has 48 divisors (see below), whose sum is σ = 28115100. Its totient is φ = 3379200.

The previous prime is 10259203. The next prime is 10259237. The reversal of 10259208 is 80295201.

It is a Cunningham number, because it is equal to 32032-1.

It can be written as a sum of positive squares in 2 ways, for example, as 9847044 + 412164 = 3138^2 + 642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5608 + ... + 7208.

Almost surely, 210259208 is an apocalyptic number.

10259208 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 10259208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14057550).

10259208 is an abundant number, since it is smaller than the sum of its proper divisors (17855892).

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

10259208 is a wasteful number, since it uses less digits than its factorization.

10259208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10259208 is about 3202.9998438963. Note that the first 3 decimals coincide. The cubic root of 10259208 is about 217.2891019509.

The spelling of 10259208 in words is "ten million, two hundred fifty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1601 1602 2136 3202 3204 4803 6404 6408 9606 12808 14409 19212 28818 38424 57636 115272 142489 284978 427467 569956 854934 1139912 1282401 1709868 2564802 3419736 5129604 10259208