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10106334 = 232780209
BaseRepresentation
bin100110100011…
…010111011110
3201000110021200
4212203113132
510041400314
61000340330
7151621350
oct46432736
921013250
1010106334
115783047
1234746a6
13212b0a4
1414b10d0
15d49709
hex9a35de

10106334 has 24 divisors (see below), whose sum is σ = 25025520. Its totient is φ = 2887488.

The previous prime is 10106323. The next prime is 10106357. The reversal of 10106334 is 43360101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39979 + ... + 40230.

It is an arithmetic number, because the mean of its divisors is an integer number (1042730).

Almost surely, 210106334 is an apocalyptic number.

10106334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10106334 is an abundant number, since it is smaller than the sum of its proper divisors (14919186).

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

10106334 is a wasteful number, since it uses less digits than its factorization.

10106334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80224 (or 80221 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 10106334 is about 3179.0460833401. The cubic root of 10106334 is about 216.2044104058.

Adding to 10106334 its reverse (43360101), we get a palindrome (53466435).

It can be divided in two parts, 10106 and 334, that added together give a triangular number (10440 = T144).

The spelling of 10106334 in words is "ten million, one hundred six thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 80209 160418 240627 481254 561463 721881 1122926 1443762 1684389 3368778 5053167 10106334