Search a number
-
+
106249668 = 22371264877
BaseRepresentation
bin1100101010100…
…11110111000100
321101221001010220
412111103313010
5204144442133
614313144340
72430051540
oct625236704
9241831126
10106249668
1154a7aa48
122b6bb0b0
1319021335
141017aa20
1594db5b3
hex6553dc4

106249668 has 24 divisors (see below), whose sum is σ = 283332672. Its totient is φ = 30357024.

The previous prime is 106249651. The next prime is 106249669. The reversal of 106249668 is 866942601.

It is a super-2 number, since 2×1062496682 = 22577983900220448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (106249669) 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, 632355 + ... + 632522.

It is an arithmetic number, because the mean of its divisors is an integer number (11805528).

Almost surely, 2106249668 is an apocalyptic number.

It is an amenable number.

106249668 is an abundant number, since it is smaller than the sum of its proper divisors (177083004).

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

106249668 is a wasteful number, since it uses less digits than its factorization.

106249668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264891 (or 1264889 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 106249668 is about 10307.7479596661. The cubic root of 106249668 is about 473.6336252700.

The spelling of 106249668 in words is "one hundred six million, two hundred forty-nine thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1264877 2529754 3794631 5059508 7589262 8854139 15178524 17708278 26562417 35416556 53124834 106249668