Search a number
-
+
23487840 = 253355437
BaseRepresentation
bin101100110011…
…0010101100000
31122012022021000
41121212111200
522003102330
62155232000
7403433445
oct131462540
948168230
1023487840
1112292842
127a48600
134b34b3c
1431959cc
1520de560
hex1666560

23487840 has 96 divisors (see below), whose sum is σ = 82222560. Its totient is φ = 6262272.

The previous prime is 23487809. The next prime is 23487869. The reversal of 23487840 is 4878432.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 23487795 and 23487804.

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 15 ways as a sum of consecutive naturals, for example, 1602 + ... + 7038.

It is an arithmetic number, because the mean of its divisors is an integer number (856485).

Almost surely, 223487840 is an apocalyptic number.

23487840 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 23487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41111280).

23487840 is an abundant number, since it is smaller than the sum of its proper divisors (58734720).

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

23487840 is a wasteful number, since it uses less digits than its factorization.

23487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 23487840 is about 4846.4254868924. The cubic root of 23487840 is about 286.3833027104.

The spelling of 23487840 in words is "twenty-three million, four hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5437 10874 16311 21748 27185 32622 43496 48933 54370 65244 81555 86992 97866 108740 130488 146799 163110 173984 195732 217480 244665 260976 293598 326220 391464 434960 489330 521952 587196 652440 733995 782928 869920 978660 1174392 1304880 1467990 1565856 1957320 2348784 2609760 2935980 3914640 4697568 5871960 7829280 11743920 23487840