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240856380 = 223255325247
BaseRepresentation
bin11100101101100…
…10110100111100
3121210012202211200
432112302310330
5443124401010
635522215500
75653150122
oct1626626474
9553182750
10240856380
11113a58a66
12687b4590
133ab9088b
1423db9912
1516229cc0
hexe5b2d3c

240856380 has 72 divisors (see below), whose sum is σ = 744412032. Its totient is φ = 63014016.

The previous prime is 240856379. The next prime is 240856381. The reversal of 240856380 is 83658042.

It is an interprime number because it is at equal distance from previous prime (240856379) and next prime (240856381).

It is a super-3 number, since 3×2408563803 (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240856381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3084 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (10339056).

Almost surely, 2240856380 is an apocalyptic number.

240856380 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 240856380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372206016).

240856380 is an abundant number, since it is smaller than the sum of its proper divisors (503555652).

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

240856380 is a wasteful number, since it uses less digits than its factorization.

240856380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25315 (or 25310 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 240856380 is about 15519.5483181696. The cubic root of 240856380 is about 622.1847825876.

The spelling of 240856380 in words is "two hundred forty million, eight hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 25247 50494 75741 100988 126235 151482 227223 252470 302964 378705 454446 504940 757410 908892 1136115 1338091 1514820 2272230 2676182 4014273 4544460 5352364 6690455 8028546 12042819 13380910 16057092 20071365 24085638 26761820 40142730 48171276 60214095 80285460 120428190 240856380