Search a number
-
+
240042680 = 23537592749
BaseRepresentation
bin11100100111011…
…00001010111000
3121201200102122122
432103230022320
5442422331210
635452540412
75643220613
oct1623541270
9551612578
10240042680
11113552689
1268481708
133a9673b7
1423c4717a
1516118b55
hexe4ec2b8

240042680 has 64 divisors (see below), whose sum is σ = 564300000. Its totient is φ = 91805184.

The previous prime is 240042679. The next prime is 240042721. The reversal of 240042680 is 86240042.

240042680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85946 + ... + 88694.

Almost surely, 2240042680 is an apocalyptic number.

240042680 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 240042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282150000).

240042680 is an abundant number, since it is smaller than the sum of its proper divisors (324257320).

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

240042680 is a wasteful number, since it uses less digits than its factorization.

240042680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 240042680 is about 15493.3108146710. The cubic root of 240042680 is about 621.4833369749.

The spelling of 240042680 in words is "two hundred forty million, forty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 59 74 118 148 185 236 295 296 370 472 590 740 1180 1480 2183 2360 2749 4366 5498 8732 10915 10996 13745 17464 21830 21992 27490 43660 54980 87320 101713 109960 162191 203426 324382 406852 508565 648764 810955 813704 1017130 1297528 1621910 2034260 3243820 4068520 6001067 6487640 12002134 24004268 30005335 48008536 60010670 120021340 240042680