Search a number
-
+
10099008 = 263289197
BaseRepresentation
bin100110100001…
…100101000000
3201000002020100
4212201211000
510041132013
61000242400
7151561113
oct46414500
921002210
1010099008
115778597
123470400
13212795a
1414ac57a
15d47473
hex9a1940

10099008 has 84 divisors (see below), whose sum is σ = 29420820. Its totient is φ = 3311616.

The previous prime is 10099007. The next prime is 10099009. The reversal of 10099008 is 80099001.

It is an interprime number because it is at equal distance from previous prime (10099007) and next prime (10099009).

It can be written as a sum of positive squares in 2 ways, for example, as 6594624 + 3504384 = 2568^2 + 1872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099007) 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, 51166 + ... + 51362.

Almost surely, 210099008 is an apocalyptic number.

10099008 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 10099008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710410).

10099008 is an abundant number, since it is smaller than the sum of its proper divisors (19321812).

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

10099008 is a wasteful number, since it uses less digits than its factorization.

10099008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10099008 is about 3177.8936420214. The cubic root of 10099008 is about 216.1521561665.

The spelling of 10099008 in words is "ten million, ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 197 267 288 356 394 534 576 591 712 788 801 1068 1182 1424 1576 1602 1773 2136 2364 2848 3152 3204 3546 4272 4728 5696 6304 6408 7092 8544 9456 12608 12816 14184 17088 17533 18912 25632 28368 35066 37824 51264 52599 56736 70132 105198 113472 140264 157797 210396 280528 315594 420792 561056 631188 841584 1122112 1262376 1683168 2524752 3366336 5049504 10099008