Search a number
-
+
106254232 = 23719372699
BaseRepresentation
bin1100101010101…
…00111110011000
321101221021101221
412111110332120
5204200113412
614313221424
72430101050
oct625247630
9241837357
10106254232
1154a83417
122b701874
1319023436
141017c560
1594dcb07
hex6554f98

106254232 has 64 divisors (see below), whose sum is σ = 246240000. Its totient is φ = 41959296.

The previous prime is 106254229. The next prime is 106254299. The reversal of 106254232 is 232452601.

It is a super-2 number, since 2×1062542322 = 22579923635819648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106254197 and 106254206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38019 + ... + 40717.

It is an arithmetic number, because the mean of its divisors is an integer number (3847500).

Almost surely, 2106254232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106254232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120000).

106254232 is an abundant number, since it is smaller than the sum of its proper divisors (139985768).

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

106254232 is a wasteful number, since it uses less digits than its factorization.

106254232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 106254232 is about 10307.9693441531. The cubic root of 106254232 is about 473.6404068847.

The spelling of 106254232 in words is "one hundred six million, two hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 133 148 152 259 266 296 518 532 703 1036 1064 1406 2072 2699 2812 4921 5398 5624 9842 10796 18893 19684 21592 37786 39368 51281 75572 99863 102562 151144 199726 205124 358967 399452 410248 699041 717934 798904 1398082 1435868 1897397 2796164 2871736 3794794 5592328 7589588 13281779 15179176 26563558 53127116 106254232