Search a number
-
+
1936920208 = 242943193503
BaseRepresentation
bin111001101110011…
…0000111010010000
311222222122202000111
41303130300322100
512431322421313
6520110531104
765666356456
oct16334607220
94888582014
101936920208
11904382903
12460806a94
1324b38c642
141453589d6
15b50a243d
hex73730e90

1936920208 has 80 divisors (see below), whose sum is σ = 4000993920. Its totient is φ = 906780672.

The previous prime is 1936920199. The next prime is 1936920217. The reversal of 1936920208 is 8020296391.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1936920199) and next prime (1936920217).

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, 3850485 + ... + 3850987.

It is an arithmetic number, because the mean of its divisors is an integer number (50012424).

Almost surely, 21936920208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1936920208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000496960).

1936920208 is an abundant number, since it is smaller than the sum of its proper divisors (2064073712).

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

1936920208 is a wasteful number, since it uses less digits than its factorization.

1936920208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1936920208 is about 44010.4556668072. The cubic root of 1936920208 is about 1246.5333725897.

The spelling of 1936920208 in words is "one billion, nine hundred thirty-six million, nine hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 193 232 344 386 464 503 688 772 1006 1247 1544 2012 2494 3088 4024 4988 5597 8048 8299 9976 11194 14587 16598 19952 21629 22388 29174 33196 43258 44776 58348 66392 86516 89552 97079 116696 132784 173032 194158 233392 240671 346064 388316 481342 627241 776632 962684 1254482 1553264 1925368 2508964 2815291 3850736 4174397 5017928 5630582 8348794 10035856 11261164 16697588 22522328 33395176 45044656 66790352 121057513 242115026 484230052 968460104 1936920208