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2012411400 = 2335213212539
BaseRepresentation
bin111011111110010…
…1111011000001000
312012020201002110120
41313330233120020
513110134131100
6531404543240
7100604133426
oct16774573010
95166632416
102012411400
11942a5451a
12481b51b20
13260c0169c
141513aa116
15bba150a0
hex77f2f608

2012411400 has 96 divisors (see below), whose sum is σ = 6245656800. Its totient is φ = 536025600.

The previous prime is 2012411383. The next prime is 2012411419. The reversal of 2012411400 is 41142102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2012411400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791331 + ... + 793869.

It is an arithmetic number, because the mean of its divisors is an integer number (65058925).

Almost surely, 22012411400 is an apocalyptic number.

2012411400 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 2012411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122828400).

2012411400 is an abundant number, since it is smaller than the sum of its proper divisors (4233245400).

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

2012411400 is a wasteful number, since it uses less digits than its factorization.

2012411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2012411400 is about 44859.9086044544. The cubic root of 2012411400 is about 1262.5219079295.

Adding to 2012411400 its reverse (41142102), we get a palindrome (2053553502).

The spelling of 2012411400 in words is "two billion, twelve million, four hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1321 2539 2642 3963 5078 5284 6605 7617 7926 10156 10568 12695 13210 15234 15852 19815 20312 25390 26420 30468 31704 33025 38085 39630 50780 52840 60936 63475 66050 76170 79260 99075 101560 126950 132100 152340 158520 190425 198150 253900 264200 304680 380850 396300 507800 761700 792600 1523400 3354019 6708038 10062057 13416076 16770095 20124114 26832152 33540190 40248228 50310285 67080380 80496456 83850475 100620570 134160760 167700950 201241140 251551425 335401900 402482280 503102850 670803800 1006205700 2012411400