Search a number
-
+
23490180 = 223257103181
BaseRepresentation
bin101100110011…
…0111010000100
31122012102110200
41121212322010
522003141210
62155250500
7403443330
oct131467204
948172420
1023490180
111229457a
127a49a30
134b35c1c
1431967c0
1520e00c0
hex1666e84

23490180 has 144 divisors (see below), whose sum is σ = 82677504. Its totient is φ = 5287680.

The previous prime is 23490167. The next prime is 23490191. The reversal of 23490180 is 8109432.

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, 129690 + ... + 129870.

Almost surely, 223490180 is an apocalyptic number.

23490180 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 23490180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41338752).

23490180 is an abundant number, since it is smaller than the sum of its proper divisors (59187324).

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

23490180 is a wasteful number, since it uses less digits than its factorization.

23490180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23490180 is about 4846.6668959193. Note that the first 3 decimals coincide. The cubic root of 23490180 is about 286.3928128040.

The spelling of 23490180 in words is "twenty-three million, four hundred ninety thousand, one 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 90 103 105 126 140 180 181 206 210 252 309 315 362 412 420 515 543 618 630 721 724 905 927 1030 1086 1236 1260 1267 1442 1545 1629 1810 1854 2060 2163 2172 2534 2715 2884 3090 3258 3605 3620 3708 3801 4326 4635 5068 5430 6180 6335 6489 6516 7210 7602 8145 8652 9270 10815 10860 11403 12670 12978 14420 15204 16290 18540 18643 19005 21630 22806 25340 25956 32445 32580 37286 38010 43260 45612 55929 57015 64890 74572 76020 93215 111858 114030 129780 130501 167787 186430 223716 228060 261002 279645 335574 372860 391503 522004 559290 652505 671148 783006 838935 1118580 1174509 1305010 1566012 1677870 1957515 2349018 2610020 3355740 3915030 4698036 5872545 7830060 11745090 23490180