Search a number
-
+
106572956 = 2273806177
BaseRepresentation
bin1100101101000…
…10110010011100
321102112110121112
412112202302130
5204240313311
614324121152
72432566220
oct626426234
9242473545
10106572956
1155180926
122b8361b8
1319105529
1410222780
15955228b
hex65a2c9c

106572956 has 12 divisors (see below), whose sum is σ = 213145968. Its totient is φ = 45674112.

The previous prime is 106572937. The next prime is 106572959. The reversal of 106572956 is 659275601.

106572956 is an admirable number.

It is a super-2 number, since 2×1065729562 = 22715589901155872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106572959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1903061 + ... + 1903116.

It is an arithmetic number, because the mean of its divisors is an integer number (17762164).

Almost surely, 2106572956 is an apocalyptic number.

It is an amenable number.

106572956 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

106572956 is a wasteful number, since it uses less digits than its factorization.

106572956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806188 (or 3806186 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 106572956 is about 10323.4178448806. The cubic root of 106572956 is about 474.1135170564.

The spelling of 106572956 in words is "one hundred six million, five hundred seventy-two thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 3806177 7612354 15224708 26643239 53286478 106572956