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126106893 = 32112116037
BaseRepresentation
bin1111000010000…
…11110100001101
322210021220010200
413201003310031
5224240410033
620302524113
73060614403
oct741036415
9283256120
10126106893
1165202a80
1236296639
1320184783
1412a69473
15b110013
hex7843d0d

126106893 has 24 divisors (see below), whose sum is σ = 199688736. Its totient is φ = 76053600.

The previous prime is 126106891. The next prime is 126106913. The reversal of 126106893 is 398601621.

It is not a de Polignac number, because 126106893 - 21 = 126106891 is a prime.

It is a super-2 number, since 2×1261068932 = 31805896924226898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126106891) 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 23 ways as a sum of consecutive naturals, for example, 17871 + ... + 23907.

It is an arithmetic number, because the mean of its divisors is an integer number (8320364).

Almost surely, 2126106893 is an apocalyptic number.

It is an amenable number.

126106893 is a deficient number, since it is larger than the sum of its proper divisors (73581843).

126106893 is a wasteful number, since it uses less digits than its factorization.

126106893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 126106893 is about 11229.7325435649. The cubic root of 126106893 is about 501.4715223289.

It can be divided in two parts, 12610 and 6893, that added together give a triangular number (19503 = T197).

The spelling of 126106893 in words is "one hundred twenty-six million, one hundred six thousand, eight hundred ninety-three".

Divisors: 1 3 9 11 33 99 211 633 1899 2321 6037 6963 18111 20889 54333 66407 199221 597663 1273807 3821421 11464263 14011877 42035631 126106893