Search a number
-
+
23842980 = 223257127149
BaseRepresentation
bin101101011110…
…1000010100100
31122212100102100
41122331002210
522100433410
62211012100
7406443030
oct132750244
948770370
1023842980
1112505647
127b9a030
134c2a695
1432491c0
15215e8c0
hex16bd0a4

23842980 has 144 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 5370624.

The previous prime is 23842943. The next prime is 23842991. The reversal of 23842980 is 8924832.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159946 + ... + 160094.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 223842980 is an apocalyptic number.

23842980 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 23842980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932800).

23842980 is an abundant number, since it is smaller than the sum of its proper divisors (60022620).

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

23842980 is a wasteful number, since it uses less digits than its factorization.

23842980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23842980 is about 4882.9274006481. The cubic root of 23842980 is about 287.8194759880.

The spelling of 23842980 in words is "twenty-three million, eight hundred forty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 149 180 210 252 254 298 315 381 420 447 508 596 630 635 745 762 889 894 1043 1143 1260 1270 1341 1490 1524 1778 1788 1905 2086 2235 2286 2540 2667 2682 2980 3129 3556 3810 4172 4445 4470 4572 5215 5334 5364 5715 6258 6705 7620 8001 8890 8940 9387 10430 10668 11430 12516 13335 13410 15645 16002 17780 18774 18923 20860 22860 26670 26820 31290 32004 37548 37846 40005 46935 53340 56769 62580 75692 80010 93870 94615 113538 132461 160020 170307 187740 189230 227076 264922 283845 340614 378460 397383 529844 567690 662305 681228 794766 851535 1135380 1192149 1324610 1589532 1703070 1986915 2384298 2649220 3406140 3973830 4768596 5960745 7947660 11921490 23842980