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2240076660 = 2235671733221
BaseRepresentation
bin1000010110000100…
…1101101101110100
312210010002200111020
42011201031231310
514041424423120
61010140341140
7106340223513
oct20541155564
95703080436
102240076660
11a4a512828
125262447b0
13299124063
1417371067a
15d19d6640
hex8584db74

2240076660 has 96 divisors (see below), whose sum is σ = 6404614272. Its totient is φ = 584855040.

The previous prime is 2240076653. The next prime is 2240076691. The reversal of 2240076660 is 666700422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 693850 + ... + 697070.

It is an arithmetic number, because the mean of its divisors is an integer number (66714732).

Almost surely, 22240076660 is an apocalyptic number.

2240076660 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 2240076660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202307136).

2240076660 is an abundant number, since it is smaller than the sum of its proper divisors (4164537612).

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

2240076660 is a wasteful number, since it uses less digits than its factorization.

2240076660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2240076660 is about 47329.4481269326. The cubic root of 2240076660 is about 1308.4414500923.

The spelling of 2240076660 in words is "two billion, two hundred forty million, seventy-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 173 201 268 335 346 402 519 670 692 804 865 1005 1038 1340 1730 2010 2076 2595 3221 3460 4020 5190 6442 9663 10380 11591 12884 16105 19326 23182 32210 34773 38652 46364 48315 57955 64420 69546 96630 115910 139092 173865 193260 215807 231820 347730 431614 557233 647421 695460 863228 1079035 1114466 1294842 1671699 2158070 2228932 2589684 2786165 3237105 3343398 4316140 5572330 6474210 6686796 8358495 11144660 12948420 16716990 33433980 37334611 74669222 112003833 149338444 186673055 224007666 373346110 448015332 560019165 746692220 1120038330 2240076660