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239117940 = 223352571723
BaseRepresentation
bin11100100000010…
…10011001110100
3121122221110011000
432100022121310
5442203233230
635421043300
75632316565
oct1620123164
9548843130
10239117940
11112a80936
12680b6530
133a702509
1423a8616c
1515ed4b60
hexe40a674

239117940 has 96 divisors (see below), whose sum is σ = 747250560. Its totient is φ = 63479808.

The previous prime is 239117933. The next prime is 239117981. The reversal of 239117940 is 49711932.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 239117895 and 239117904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137919 + ... + 139641.

It is an arithmetic number, because the mean of its divisors is an integer number (7783860).

Almost surely, 2239117940 is an apocalyptic number.

239117940 is a gapful number since it is divisible by the number (20) 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 239117940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373625280).

239117940 is an abundant number, since it is smaller than the sum of its proper divisors (508132620).

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

239117940 is a wasteful number, since it uses less digits than its factorization.

239117940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 239117940 is about 15463.4388154770. The cubic root of 239117940 is about 620.6842428455.

The spelling of 239117940 in words is "two hundred thirty-nine million, one hundred seventeen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 257 270 514 540 771 1028 1285 1542 1723 2313 2570 3084 3446 3855 4626 5140 5169 6892 6939 7710 8615 9252 10338 11565 13878 15420 15507 17230 20676 23130 25845 27756 31014 34460 34695 46260 46521 51690 62028 69390 77535 93042 103380 138780 155070 186084 232605 310140 442811 465210 885622 930420 1328433 1771244 2214055 2656866 3985299 4428110 5313732 6642165 7970598 8856220 11955897 13284330 15941196 19926495 23911794 26568660 39852990 47823588 59779485 79705980 119558970 239117940