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106733260 = 22519214783
BaseRepresentation
bin1100101110010…
…01111011001100
321102211121111201
412113021323030
5204310431020
614331355244
72434134454
oct627117314
9242747451
10106733260
1155280307
122b8b2b24
131916049a
1410264d64
159584a0a
hex65c9ecc

106733260 has 36 divisors (see below), whose sum is σ = 236573568. Its totient is φ = 40443552.

The previous prime is 106733257. The next prime is 106733273. The reversal of 106733260 is 62337601.

It is a super-2 number, since 2×1067332602 = 22783977580455200, which contains 22 as substring.

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, 172 + ... + 14611.

It is an arithmetic number, because the mean of its divisors is an integer number (6571488).

Almost surely, 2106733260 is an apocalyptic number.

106733260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106733260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118286784).

106733260 is an abundant number, since it is smaller than the sum of its proper divisors (129840308).

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

106733260 is a wasteful number, since it uses less digits than its factorization.

106733260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14830 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 106733260 is about 10331.1790227447. The cubic root of 106733260 is about 474.3511139761.

The spelling of 106733260 in words is "one hundred six million, seven hundred thirty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 14783 29566 59132 73915 147830 280877 295660 561754 1123508 1404385 2808770 5336663 5617540 10673326 21346652 26683315 53366630 106733260