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2013330440 = 2351119240829
BaseRepresentation
bin111100000000000…
…1111110000001000
312012022102210011002
41320000033300020
513110403033230
6531440354132
7100615012022
oct17000176010
95168383132
102013330440
11943521a60
12482315948
13261163ab4
14151569012
15bbb47545
hex7800fc08

2013330440 has 64 divisors (see below), whose sum is σ = 5201928000. Its totient is φ = 693584640.

The previous prime is 2013330401. The next prime is 2013330443. The reversal of 2013330440 is 440333102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2013330443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112055 + ... + 128774.

It is an arithmetic number, because the mean of its divisors is an integer number (81280125).

Almost surely, 22013330440 is an apocalyptic number.

2013330440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013330440 is an abundant number, since it is smaller than the sum of its proper divisors (3188597560).

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

2013330440 is a wasteful number, since it uses less digits than its factorization.

2013330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240870 (or 240866 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2013330440 is about 44870.1508800673. The cubic root of 2013330440 is about 1262.7140706829.

Adding to 2013330440 its reverse (440333102), we get a palindrome (2453663542).

The spelling of 2013330440 in words is "two billion, thirteen million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 240829 481658 963316 1204145 1926632 2408290 2649119 4575751 4816580 5298238 9151502 9633160 10596476 13245595 18303004 21192952 22878755 26491190 36606008 45757510 50333261 52982380 91515020 100666522 105964760 183030040 201333044 251666305 402666088 503332610 1006665220 2013330440