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2013404240 = 245733071123
BaseRepresentation
bin111100000000010…
…0001110001010000
312012022120112101102
41320000201301100
513110412413430
6531442123532
7100615440131
oct17000416120
95168515342
102013404240
11943572451
124823505a8
1326118b573
14151587c88
15bbb5e345
hex78021c50

2013404240 has 80 divisors (see below), whose sum is σ = 4764986688. Its totient is φ = 791036928.

The previous prime is 2013404233. The next prime is 2013404249. The reversal of 2013404240 is 424043102.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013404249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792319 + ... + 1793441.

Almost surely, 22013404240 is an apocalyptic number.

2013404240 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 2013404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382493344).

2013404240 is an abundant number, since it is smaller than the sum of its proper divisors (2751582448).

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

2013404240 is a wasteful number, since it uses less digits than its factorization.

2013404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2013404240 is about 44870.9732455181. The cubic root of 2013404240 is about 1262.7294990428.

Adding to 2013404240 its reverse (424043102), we get a palindrome (2437447342).

The spelling of 2013404240 in words is "two billion, thirteen million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 307 365 584 614 730 1123 1168 1228 1460 1535 2246 2456 2920 3070 4492 4912 5615 5840 6140 8984 11230 12280 17968 22411 22460 24560 44822 44920 81979 89644 89840 112055 163958 179288 224110 327916 344761 358576 409895 448220 655832 689522 819790 896440 1311664 1379044 1639580 1723805 1792880 2758088 3279160 3447610 5516176 6558320 6895220 13790440 25167553 27580880 50335106 100670212 125837765 201340424 251675530 402680848 503351060 1006702120 2013404240