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2302120040 = 2351179103643
BaseRepresentation
bin1000100100110111…
…1001000001101000
312221102211211000012
42021031321001220
514203320320130
61020234231052
7111022461143
oct21115710150
95842754005
102302120040
11a81539950
12542b85488
132a8c3810c
1417ba6105a
15d718e995
hex89379068

2302120040 has 128 divisors (see below), whose sum is σ = 5786726400. Its totient is φ = 817240320.

The previous prime is 2302120001. The next prime is 2302120099. The reversal of 2302120040 is 400212032.

It is a junction number, because it is equal to n+sod(n) for n = 2302119997 and 2302120024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3579959 + ... + 3580601.

It is an arithmetic number, because the mean of its divisors is an integer number (45208800).

Almost surely, 22302120040 is an apocalyptic number.

2302120040 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 2302120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893363200).

2302120040 is an abundant number, since it is smaller than the sum of its proper divisors (3484606360).

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

2302120040 is a wasteful number, since it uses less digits than its factorization.

2302120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2302120040 is about 47980.4130870087. The cubic root of 2302120040 is about 1320.4115719965.

Adding to 2302120040 its reverse (400212032), we get a palindrome (2702332072).

The spelling of 2302120040 in words is "two billion, three hundred two million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 103 110 158 206 220 316 395 412 440 515 632 643 790 824 869 1030 1133 1286 1580 1738 2060 2266 2572 3160 3215 3476 4120 4345 4532 5144 5665 6430 6952 7073 8137 8690 9064 11330 12860 14146 16274 17380 22660 25720 28292 32548 34760 35365 40685 45320 50797 56584 65096 66229 70730 81370 89507 101594 132458 141460 162740 179014 203188 253985 264916 282920 325480 331145 358028 406376 447535 507970 529832 558767 662290 716056 728519 895070 1015940 1117534 1324580 1457038 1790140 2031880 2235068 2649160 2793835 2914076 3580280 3642595 4470136 5232091 5587670 5828152 7285190 10464182 11175340 14570380 20928364 22350680 26160455 29140760 41856728 52320910 57553001 104641820 115106002 209283640 230212004 287765005 460424008 575530010 1151060020 2302120040