Search a number
-
+
4960208320 = 265173167439
BaseRepresentation
bin1001001111010011…
…01100010111000000
3110210200111200122021
410213221230113000
540124303131240
62140110251224
7233630034514
oct44751542700
913720450567
104960208320
1121159a9a21
12b651b6b14
13610838b12
14350aa4144
151e06e654a
hex127a6c5c0

4960208320 has 224 divisors, whose sum is σ = 13132247040. Its totient is φ = 1776107520.

The previous prime is 4960208317. The next prime is 4960208327. The reversal of 4960208320 is 238020694.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960208327) 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, 11298661 + ... + 11299099.

Almost surely, 24960208320 is an apocalyptic number.

4960208320 is a gapful number since it is divisible by the number (40) 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 4960208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566123520).

4960208320 is an abundant number, since it is smaller than the sum of its proper divisors (8172038720).

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

4960208320 is a wasteful number, since it uses less digits than its factorization.

4960208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4960208320 is about 70428.7464037235. The cubic root of 4960208320 is about 1705.4276719752.

The spelling of 4960208320 in words is "four billion, nine hundred sixty million, two hundred eight thousand, three hundred twenty".