Search a number
-
+
23939131590 = 23251192926029
BaseRepresentation
bin10110010010111000…
…100010100011000110
32021210100200212221100
4112102320202203012
5343011404202330
614555242400530
71505143155363
oct262270424306
967710625840
1023939131590
11a175019980
124781200146
13234680702a
14123151346a
159519bb060
hex592e228c6

23939131590 has 96 divisors (see below), whose sum is σ = 67975783200. Its totient is φ = 5796956160.

The previous prime is 23939131583. The next prime is 23939131591. The reversal of 23939131590 is 9513193932.

It is a happy number.

23939131590 is a `hidden beast` number, since 23 + 9 + 3 + 9 + 1 + 31 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23939131591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906696 + ... + 932724.

It is an arithmetic number, because the mean of its divisors is an integer number (708081075).

Almost surely, 223939131590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23939131590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33987891600).

23939131590 is an abundant number, since it is smaller than the sum of its proper divisors (44036651610).

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

23939131590 is a wasteful number, since it uses less digits than its factorization.

23939131590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26982 (or 26979 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 45.

The spelling of 23939131590 in words is "twenty-three billion, nine hundred thirty-nine million, one hundred thirty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 929 990 1858 2787 4645 5574 8361 9290 10219 13935 16722 20438 26029 27870 30657 41805 51095 52058 61314 78087 83610 91971 102190 130145 153285 156174 183942 234261 260290 286319 306570 390435 459855 468522 572638 780870 858957 919710 1171305 1431595 1717914 2342610 2576871 2863190 4294785 5153742 8589570 12884355 24180941 25768710 48361882 72542823 120904705 145085646 217628469 241809410 265990351 362714115 435256938 531980702 725428230 797971053 1088142345 1329951755 1595942106 2176284690 2393913159 2659903510 3989855265 4787826318 7979710530 11969565795 23939131590