Search a number
-
+
3180680538 = 237314751977
BaseRepresentation
bin1011110110010101…
…0101010101011010
322012200000022102220
42331211111111122
523003223234123
61243341004510
7141551224050
oct27545252532
98180008386
103180680538
111392458402
12749253736
133b8c660b9
142225da1d0
15139383ce3
hexbd95555a

3180680538 has 64 divisors (see below), whose sum is σ = 7664467968. Its totient is φ = 860722560.

The previous prime is 3180680533. The next prime is 3180680539. The reversal of 3180680538 is 8350860813.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3180680538.

It is not an unprimeable number, because it can be changed into a prime (3180680533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35206 + ... + 87182.

It is an arithmetic number, because the mean of its divisors is an integer number (119757312).

Almost surely, 23180680538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3180680538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832233984).

3180680538 is an abundant number, since it is smaller than the sum of its proper divisors (4483787430).

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

3180680538 is a wasteful number, since it uses less digits than its factorization.

3180680538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52067.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 3180680538 is about 56397.5224455827. The cubic root of 3180680538 is about 1470.6410485564.

The spelling of 3180680538 in words is "three billion, one hundred eighty million, six hundred eighty thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 47 62 93 94 141 186 217 282 329 434 651 658 987 1302 1457 1974 2914 4371 8742 10199 20398 30597 51977 61194 103954 155931 311862 363839 727678 1091517 1611287 2183034 2442919 3222574 4833861 4885838 7328757 9667722 11279009 14657514 17100433 22558018 33837027 34200866 51301299 67674054 75730489 102602598 151460978 227191467 454382934 530113423 1060226846 1590340269 3180680538