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2015313040 = 245133783631
BaseRepresentation
bin111100000011111…
…0011110010010000
312012110011111202201
41320013303302100
513111410004130
6531551052544
7100640610136
oct17007636220
95173144681
102015313040
11944656574
12482b11154
132616a9330
14151923756
15bbdd9bca
hex781f3c90

2015313040 has 160 divisors (see below), whose sum is σ = 5253163776. Its totient is φ = 714147840.

The previous prime is 2015313017. The next prime is 2015313043. The reversal of 2015313040 is 403135102.

It is a super-2 number, since 2×20153130402 = 8122973298388083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2015312999 and 2015313017.

It is not an unprimeable number, because it can be changed into a prime (2015313043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3193525 + ... + 3194155.

Almost surely, 22015313040 is an apocalyptic number.

2015313040 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 2015313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626581888).

2015313040 is an abundant number, since it is smaller than the sum of its proper divisors (3237850736).

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

2015313040 is a wasteful number, since it uses less digits than its factorization.

2015313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2015313040 is about 44892.2380818778. The cubic root of 2015313040 is about 1263.1284149236.

Adding to 2015313040 its reverse (403135102), we get a palindrome (2418448142).

The spelling of 2015313040 in words is "two billion, fifteen million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 83 104 130 148 166 185 208 260 296 332 370 415 481 520 592 631 664 740 830 962 1040 1079 1262 1328 1480 1660 1924 2158 2405 2524 2960 3071 3155 3320 3848 4316 4810 5048 5395 6142 6310 6640 7696 8203 8632 9620 10096 10790 12284 12620 15355 16406 17264 19240 21580 23347 24568 25240 30710 32812 38480 39923 41015 43160 46694 49136 50480 52373 61420 65624 79846 82030 86320 93388 104746 116735 122840 131248 159692 164060 186776 199615 209492 233470 245680 261865 303511 319384 328120 373552 399230 418984 466940 523730 607022 638768 656240 680849 798460 837968 933880 1047460 1214044 1361698 1517555 1596920 1867760 1937801 2094920 2428088 2723396 3035110 3193840 3404245 3875602 4189840 4856176 5446792 6070220 6808490 7751204 9689005 10893584 12140440 13616980 15502408 19378010 24280880 25191413 27233960 31004816 38756020 50382826 54467920 77512040 100765652 125957065 155024080 201531304 251914130 403062608 503828260 1007656520 2015313040