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2013244440 = 233554730671
BaseRepresentation
bin111011111111111…
…1010110000011000
312012022021102011220
41313333322300120
513110342310230
6531434452040
7100614203214
oct16777726030
95168242156
102013244440
11943473389
12482294020
132611338cc
14151545944
15bbb2bd10
hex77ffac18

2013244440 has 64 divisors (see below), whose sum is σ = 6050972160. Its totient is φ = 535866240.

The previous prime is 2013244417. The next prime is 2013244507. The reversal of 2013244440 is 444423102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2013244440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50305 + ... + 80975.

It is an arithmetic number, because the mean of its divisors is an integer number (94546440).

Almost surely, 22013244440 is an apocalyptic number.

2013244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013244440 is an abundant number, since it is smaller than the sum of its proper divisors (4037727720).

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

2013244440 is a wasteful number, since it uses less digits than its factorization.

2013244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31232 (or 31228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2013244440 is about 44869.1925490085. The cubic root of 2013244440 is about 1262.6960913597.

Adding to 2013244440 its reverse (444423102), we get a palindrome (2457667542).

The spelling of 2013244440 in words is "two billion, thirteen million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 547 1094 1641 2188 2735 3282 4376 5470 6564 8205 10940 13128 16410 21880 30671 32820 61342 65640 92013 122684 153355 184026 245368 306710 368052 460065 613420 736104 920130 1226840 1840260 3680520 16777037 33554074 50331111 67108148 83885185 100662222 134216296 167770370 201324444 251655555 335540740 402648888 503311110 671081480 1006622220 2013244440