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2012015680 = 26553118633
BaseRepresentation
bin111011111101100…
…1110110001000000
312012012221222122021
41313323032301000
513110034000210
6531352251224
7100600564633
oct16773166100
95165858567
102012015680
11942804184
124819a0b14
13260ac352c
14151305c1a
15bb987bda
hex77ecec40

2012015680 has 56 divisors (see below), whose sum is σ = 4881551832. Its totient is φ = 789614592.

The previous prime is 2012015651. The next prime is 2012015741. The reversal of 2012015680 is 865102102.

It can be written as a sum of positive squares in 4 ways, for example, as 586802176 + 1425213504 = 24224^2 + 37752^2 .

It is a super-3 number, since 3×20120156803 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42357 + ... + 76276.

Almost surely, 22012015680 is an apocalyptic number.

2012015680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012015680 is an abundant number, since it is smaller than the sum of its proper divisors (2869536152).

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

2012015680 is a wasteful number, since it uses less digits than its factorization.

2012015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118703 (or 118693 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 2012015680 is about 44855.4977678322. The cubic root of 2012015680 is about 1262.4391485228.

Adding to 2012015680 its reverse (865102102), we get a palindrome (2877117782).

The spelling of 2012015680 in words is "two billion, twelve million, fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960 118633 237266 474532 593165 949064 1186330 1898128 2372660 3796256 4745320 6287549 7592512 9490640 12575098 18981280 25150196 31437745 37962560 50300392 62875490 100600784 125750980 201201568 251501960 402403136 503003920 1006007840 2012015680