Search a number
-
+
4960560696 = 233713172337157
BaseRepresentation
bin1001001111010110…
…00010011000111000
3110210201011121000020
410213223002120320
540124400420241
62140122010440
7233633033040
oct44753023070
913721147006
104960560696
11211611a743
12b65346a20
13610930320
14350b56720
151e0765b66
hex127ac2638

4960560696 has 512 divisors, whose sum is σ = 17429852160. Its totient is φ = 1138655232.

The previous prime is 4960560601. The next prime is 4960560701. The reversal of 4960560696 is 6960650694.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31595850 + ... + 31596006.

It is an arithmetic number, because the mean of its divisors is an integer number (34042680).

Almost surely, 24960560696 is an apocalyptic number.

4960560696 is a gapful number since it is divisible by the number (46) 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 4960560696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714926080).

4960560696 is an abundant number, since it is smaller than the sum of its proper divisors (12469291464).

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

4960560696 is a wasteful number, since it uses less digits than its factorization.

4960560696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The square root of 4960560696 is about 70431.2480082527. The cubic root of 4960560696 is about 1705.4680558672.

The spelling of 4960560696 in words is "four billion, nine hundred sixty million, five hundred sixty thousand, six hundred ninety-six".