Search a number
-
+
3135796400 = 245211712681
BaseRepresentation
bin1011101011101000…
…0111010010110000
322002112112221222102
42322322013102300
522410230441100
61235054555532
7140464554362
oct27272072260
98075487872
103135796400
11136a091280
12736208ba8
133ac87c439
1421a674d32
15135469cd5
hexbae874b0

3135796400 has 60 divisors (see below), whose sum is σ = 8218648824. Its totient is φ = 1140288000.

The previous prime is 3135796343. The next prime is 3135796459. The reversal of 3135796400 is 46975313.

It is a happy number.

3135796400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351941 + ... + 360740.

Almost surely, 23135796400 is an apocalyptic number.

It is an amenable number.

3135796400 is an abundant number, since it is smaller than the sum of its proper divisors (5082852424).

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

3135796400 is a wasteful number, since it uses less digits than its factorization.

3135796400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712710 (or 712699 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 3135796400 is about 55998.1821133508. The cubic root of 3135796400 is about 1463.6906066807.

The spelling of 3135796400 in words is "three billion, one hundred thirty-five million, seven hundred ninety-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 712681 1425362 2850724 3563405 5701448 7126810 7839491 11402896 14253620 15678982 17817025 28507240 31357964 35634050 39197455 57014480 62715928 71268100 78394910 125431856 142536200 156789820 195987275 285072400 313579640 391974550 627159280 783949100 1567898200 3135796400