Search a number
-
+
106898624 = 267376449
BaseRepresentation
bin1100101111100…
…10010011000000
321110011000100022
412113302103000
5204331223444
614335113012
72435423540
oct627622300
9243130308
10106898624
1155383578
122b972768
13191ba831
14102a9320
1595b89ee
hex65f24c0

106898624 has 56 divisors (see below), whose sum is σ = 249021600. Its totient is φ = 44568576.

The previous prime is 106898609. The next prime is 106898639. The reversal of 106898624 is 426898601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106898609) and next prime (106898639).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1068986242 = 22854631626186752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13352 + ... + 19800.

Almost surely, 2106898624 is an apocalyptic number.

106898624 is a gapful number since it is divisible by the number (14) 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 106898624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124510800).

106898624 is an abundant number, since it is smaller than the sum of its proper divisors (142122976).

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

106898624 is an equidigital number, since it uses as much as digits as its factorization.

106898624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 106898624 is about 10339.1790776638. The cubic root of 106898624 is about 474.5959614978.

The spelling of 106898624 in words is "one hundred six million, eight hundred ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 148 224 259 296 448 518 592 1036 1184 2072 2368 4144 6449 8288 12898 16576 25796 45143 51592 90286 103184 180572 206368 238613 361144 412736 477226 722288 954452 1444576 1670291 1908904 2889152 3340582 3817808 6681164 7635616 13362328 15271232 26724656 53449312 106898624