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23106930 = 23572111429
BaseRepresentation
bin101100000100…
…1010101110010
31121110221202020
41120021111302
521403410210
62143132310
7400256100
oct130112562
947427666
1023106930
1112052640
1278a4096
134a30652
1430d6c70
152066770
hex1609572

23106930 has 96 divisors (see below), whose sum is σ = 70424640. Its totient is φ = 4798080.

The previous prime is 23106913. The next prime is 23106949. The reversal of 23106930 is 3960132.

23106930 is a modest number, since divided by 6930 gives 2310 as remainder.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23106930.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15456 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (733590).

Almost surely, 223106930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23106930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35212320).

23106930 is an abundant number, since it is smaller than the sum of its proper divisors (47317710).

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

23106930 is a wasteful number, since it uses less digits than its factorization.

23106930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 23106930 is about 4806.9668191075. The cubic root of 23106930 is about 284.8267337112.

It can be divided in two parts, 23 and 106930, that added together give a triangular number (106953 = T462).

The spelling of 23106930 in words is "twenty-three million, one hundred six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1429 1470 1617 2310 2695 2858 3234 4287 5390 7145 8085 8574 10003 14290 15719 16170 20006 21435 30009 31438 42870 47157 50015 60018 70021 78595 94314 100030 110033 140042 150045 157190 210063 220066 235785 300090 330099 350105 420126 471570 550165 660198 700210 770231 1050315 1100330 1540462 1650495 2100630 2310693 3300990 3851155 4621386 7702310 11553465 23106930