Search a number
-
+
106424860 = 22531171653
BaseRepresentation
bin1100101011111…
…10101000011100
321102020221110111
412111332220130
5204221043420
614321015404
72431411363
oct625765034
9242227414
10106424860
115508a633
122b784564
1319082cb9
14101c47da
15952345a
hex657ea1c

106424860 has 24 divisors (see below), whose sum is σ = 230702976. Its totient is φ = 41196480.

The previous prime is 106424837. The next prime is 106424863. The reversal of 106424860 is 68424601.

It is a super-2 number, since 2×1064248602 = 22652501652039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106424863) 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, 85207 + ... + 86446.

It is an arithmetic number, because the mean of its divisors is an integer number (9612624).

Almost surely, 2106424860 is an apocalyptic number.

106424860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106424860 is an abundant number, since it is smaller than the sum of its proper divisors (124278116).

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

106424860 is a wasteful number, since it uses less digits than its factorization.

106424860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171693 (or 171691 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 106424860 is about 10316.2425330156. The cubic root of 106424860 is about 473.8938025780.

The spelling of 106424860 in words is "one hundred six million, four hundred twenty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 171653 343306 686612 858265 1716530 3433060 5321243 10642486 21284972 26606215 53212430 106424860