Search a number
-
+
106831410 = 23572112411
BaseRepresentation
bin1100101111000…
…01111000110010
321110000121010220
412113201320302
5204322101120
614333433510
72435023560
oct627417062
9243017126
10106831410
1155338024
122b93b896
131919606a
141028ca30
1595a3b40
hex65e1e32

106831410 has 64 divisors (see below), whose sum is σ = 294534144. Its totient is φ = 24292800.

The previous prime is 106831399. The next prime is 106831441. The reversal of 106831410 is 14138601.

It is a super-2 number, since 2×1068314102 = 22825900325176200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43105 + ... + 45515.

It is an arithmetic number, because the mean of its divisors is an integer number (4602096).

Almost surely, 2106831410 is an apocalyptic number.

106831410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106831410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147267072).

106831410 is an abundant number, since it is smaller than the sum of its proper divisors (187702734).

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

106831410 is a wasteful number, since it uses less digits than its factorization.

106831410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2639.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106831410 is about 10335.9281150751. The cubic root of 106831410 is about 474.4964710340.

The spelling of 106831410 in words is "one hundred six million, eight hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 211 422 633 1055 1266 1477 2110 2411 2954 3165 4431 4822 6330 7233 7385 8862 12055 14466 14770 16877 22155 24110 33754 36165 44310 50631 72330 84385 101262 168770 253155 506310 508721 1017442 1526163 2543605 3052326 3561047 5087210 7122094 7630815 10683141 15261630 17805235 21366282 35610470 53415705 106831410