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2364012640 = 255118316183
BaseRepresentation
bin1000110011100111…
…1111100001100000
320002202022021200201
42030321333201200
514320141401030
61030324554544
7112403530063
oct21471774140
96082267621
102364012640
111003472760
1255b852a54
132b89c8662
14185d728da
15dc8182ca
hex8ce7f860

2364012640 has 96 divisors (see below), whose sum is σ = 6166492416. Its totient is φ = 849231360.

The previous prime is 2364012631. The next prime is 2364012643. The reversal of 2364012640 is 462104632.

2364012640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2364012599 and 2364012608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2364012643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137989 + ... + 154171.

It is an arithmetic number, because the mean of its divisors is an integer number (64234296).

Almost surely, 22364012640 is an apocalyptic number.

2364012640 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 2364012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083246208).

2364012640 is an abundant number, since it is smaller than the sum of its proper divisors (3802479776).

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

2364012640 is a wasteful number, since it uses less digits than its factorization.

2364012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16292 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2364012640 is about 48621.1131094301. The cubic root of 2364012640 is about 1332.1401915168.

The spelling of 2364012640 in words is "two billion, three hundred sixty-four million, twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 83 88 110 160 166 176 220 332 352 415 440 664 830 880 913 1328 1660 1760 1826 2656 3320 3652 4565 6640 7304 9130 13280 14608 16183 18260 29216 32366 36520 64732 73040 80915 129464 146080 161830 178013 258928 323660 356026 517856 647320 712052 890065 1294640 1343189 1424104 1780130 2589280 2686378 2848208 3560260 5372756 5696416 6715945 7120520 10745512 13431890 14241040 14775079 21491024 26863780 28482080 29550158 42982048 53727560 59100316 73875395 107455120 118200632 147750790 214910240 236401264 295501580 472802528 591003160 1182006320 2364012640