Search a number
-
+
106179432 = 2334424143
BaseRepresentation
bin1100101010000…
…10101101101000
321101210110210120
412111002231220
5204140220212
614311443240
72426340012
oct625025550
9241713716
10106179432
1154a321a7
122b686520
1318cc8388
141015d1b2
1594c588c
hex6542b68

106179432 has 16 divisors (see below), whose sum is σ = 265448640. Its totient is φ = 35393136.

The previous prime is 106179421. The next prime is 106179457. The reversal of 106179432 is 234971601.

It is a super-2 number, since 2×1061794322 = 22548143559685248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106179393 and 106179402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2212048 + ... + 2212095.

It is an arithmetic number, because the mean of its divisors is an integer number (16590540).

Almost surely, 2106179432 is an apocalyptic number.

106179432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106179432 is an abundant number, since it is smaller than the sum of its proper divisors (159269208).

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

106179432 is a wasteful number, since it uses less digits than its factorization.

106179432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424152 (or 4424148 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 106179432 is about 10304.3404446864. The cubic root of 106179432 is about 473.5292376053.

The spelling of 106179432 in words is "one hundred six million, one hundred seventy-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 4424143 8848286 13272429 17696572 26544858 35393144 53089716 106179432