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106567396 = 22137612693
BaseRepresentation
bin1100101101000…
…01011011100100
321102112011222121
412112201123210
5204240124041
614324035324
72432544055
oct626413344
9242464877
10106567396
1155177731
122b832b44
1319102b40
141022072c
1595507d1
hex65a16e4

106567396 has 24 divisors (see below), whose sum is σ = 201177144. Its totient is φ = 49102080.

The previous prime is 106567387. The next prime is 106567397. The reversal of 106567396 is 693765601.

It can be written as a sum of positive squares in 4 ways, for example, as 4840000 + 101727396 = 2200^2 + 10086^2 .

It is a super-2 number, since 2×1065673962 = 22713219780441632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106567397) 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 7 ways as a sum of consecutive naturals, for example, 38226 + ... + 40918.

It is an arithmetic number, because the mean of its divisors is an integer number (8382381).

Almost surely, 2106567396 is an apocalyptic number.

It is an amenable number.

106567396 is a deficient number, since it is larger than the sum of its proper divisors (94609748).

106567396 is a wasteful number, since it uses less digits than its factorization.

106567396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 106567396 is about 10323.1485507087. The cubic root of 106567396 is about 474.1052719471.

The spelling of 106567396 in words is "one hundred six million, five hundred sixty-seven thousand, three hundred ninety-six".

Divisors: 1 2 4 13 26 52 761 1522 2693 3044 5386 9893 10772 19786 35009 39572 70018 140036 2049373 4098746 8197492 26641849 53283698 106567396