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123689620 = 225171941467
BaseRepresentation
bin1110101111101…
…01101010010100
322121202002021001
413113311222110
5223131031440
620135033044
73031226065
oct727655224
9277662231
10123689620
116390192a
123550b784
131c819432
14125da56c
15acd3b9a
hex75f5a94

123689620 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 42946560.

The previous prime is 123689609. The next prime is 123689627. The reversal of 123689620 is 26986321.

It is a self number, because there is not a number n which added to its sum of digits gives 123689620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123689627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264627 + ... + 265093.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2123689620 is an apocalyptic number.

123689620 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 123689620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

123689620 is an abundant number, since it is smaller than the sum of its proper divisors (173509100).

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

123689620 is a wasteful number, since it uses less digits than its factorization.

123689620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 123689620 is about 11121.5835203446. The cubic root of 123689620 is about 498.2466856306.

The spelling of 123689620 in words is "one hundred twenty-three million, six hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 41 68 76 82 85 95 164 170 190 205 323 340 380 410 467 646 697 779 820 934 1292 1394 1558 1615 1868 2335 2788 3116 3230 3485 3895 4670 6460 6970 7790 7939 8873 9340 13243 13940 15580 15878 17746 19147 26486 31756 35492 38294 39695 44365 52972 66215 76588 79390 88730 95735 132430 150841 158780 177460 191470 264860 301682 325499 363793 382940 603364 650998 727586 754205 1301996 1455172 1508410 1627495 1818965 3016820 3254990 3637930 6184481 6509980 7275860 12368962 24737924 30922405 61844810 123689620