Search a number
-
+
106206460 = 22544911827
BaseRepresentation
bin1100101010010…
…01010011111100
321101211211212121
412111021103330
5204142101320
614312212324
72426511553
oct625112374
9241754777
10106206460
1154a50538
122b69a0a4
1319007779
1410168d9a
1594cd8aa
hex65494fc

106206460 has 24 divisors (see below), whose sum is σ = 223549200. Its totient is φ = 42384384.

The previous prime is 106206427. The next prime is 106206467. The reversal of 106206460 is 64602601.

It is a happy number.

It is a super-2 number, since 2×1062064602 = 22559624291463200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106206467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3067 + ... + 14893.

It is an arithmetic number, because the mean of its divisors is an integer number (9314550).

Almost surely, 2106206460 is an apocalyptic number.

106206460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106206460 is an abundant number, since it is smaller than the sum of its proper divisors (117342740).

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

106206460 is a wasteful number, since it uses less digits than its factorization.

106206460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12285 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 106206460 is about 10305.6518474088. The cubic root of 106206460 is about 473.5694131904.

The spelling of 106206460 in words is "one hundred six million, two hundred six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 449 898 1796 2245 4490 8980 11827 23654 47308 59135 118270 236540 5310323 10620646 21241292 26551615 53103230 106206460