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2013043620 = 223577365657
BaseRepresentation
bin111011111111100…
…1001101110100100
312012021220012201010
41313333021232210
513110314343440
6531430302220
7100612405560
oct16777115644
95167805633
102013043620
11943346515
124821b7970
13261093393
141514d26a0
15bbadc580
hex77fc9ba4

2013043620 has 96 divisors (see below), whose sum is σ = 6530082048. Its totient is φ = 453814272.

The previous prime is 2013043607. The next prime is 2013043649. The reversal of 2013043620 is 263403102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2169 + ... + 63488.

It is an arithmetic number, because the mean of its divisors is an integer number (68021688).

Almost surely, 22013043620 is an apocalyptic number.

2013043620 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 2013043620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265041024).

2013043620 is an abundant number, since it is smaller than the sum of its proper divisors (4517038428).

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

2013043620 is a wasteful number, since it uses less digits than its factorization.

2013043620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65749 (or 65747 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2013043620 is about 44866.9546548459. The cubic root of 2013043620 is about 1262.6541055554.

Adding to 2013043620 its reverse (263403102), we get a palindrome (2276446722).

The spelling of 2013043620 in words is "two billion, thirteen million, forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 73 84 105 140 146 210 219 292 365 420 438 511 730 876 1022 1095 1460 1533 2044 2190 2555 3066 4380 5110 6132 7665 10220 15330 30660 65657 131314 196971 262628 328285 393942 459599 656570 787884 919198 984855 1313140 1378797 1838396 1969710 2297995 2757594 3939420 4595990 4792961 5515188 6893985 9191980 9585922 13787970 14378883 19171844 23964805 27575940 28757766 33550727 47929610 57515532 67101454 71894415 95859220 100652181 134202908 143788830 167753635 201304362 287577660 335507270 402608724 503260905 671014540 1006521810 2013043620