Search a number
-
+
106204432 = 2423417039
BaseRepresentation
bin1100101010010…
…00110100010000
321101211202002111
412111020310100
5204142020212
614312155104
72426502625
oct625106420
9241752074
10106204432
1154a49a64
122b698a94
1319006879
141016834c
1594ccea7
hex6548d10

106204432 has 40 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 49547520.

The previous prime is 106204411. The next prime is 106204463. The reversal of 106204432 is 234402601.

It is a happy number.

It is a super-2 number, since 2×1062044322 = 22558762752885248, 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, 11569 + ... + 18607.

It is an arithmetic number, because the mean of its divisors is an integer number (5499648).

Almost surely, 2106204432 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 106204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

106204432 is an abundant number, since it is smaller than the sum of its proper divisors (113781488).

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

106204432 is a wasteful number, since it uses less digits than its factorization.

106204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7111 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 106204432 is about 10305.5534543274. The cubic root of 106204432 is about 473.5663989203.

The spelling of 106204432 in words is "one hundred six million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1886 3772 7039 7544 14078 15088 28156 56312 112624 161897 288599 323794 577198 647588 1154396 1295176 2308792 2590352 4617584 6637777 13275554 26551108 53102216 106204432