Search a number
-
+
3117696960 = 263573712539
BaseRepresentation
bin1011100111010100…
…0100011111000000
322001021111102012210
42321311010133000
522341112300320
61233211022120
7140154662340
oct27165043700
98037442183
103117696960
11135a949964
1273013a940
133a8bb3101
142180c2d20
15133a920e0
hexb9d447c0

3117696960 has 224 divisors, whose sum is σ = 11619463680. Its totient is φ = 693301248.

The previous prime is 3117696941. The next prime is 3117696971. The reversal of 3117696960 is 696967113.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242371 + ... + 254909.

Almost surely, 23117696960 is an apocalyptic number.

3117696960 is a gapful number since it is divisible by the number (30) 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 3117696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809731840).

3117696960 is an abundant number, since it is smaller than the sum of its proper divisors (8501766720).

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

3117696960 is a wasteful number, since it uses less digits than its factorization.

3117696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12603 (or 12593 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 3117696960 is about 55836.3408543217. The cubic root of 3117696960 is about 1460.8690891130.

The spelling of 3117696960 in words is "three billion, one hundred seventeen million, six hundred ninety-six thousand, nine hundred sixty".