Search a number
-
+
60286705920 = 28355727689
BaseRepresentation
bin111000001001010111…
…100010000100000000
312202121111001222100000
4320021113202010000
51441431344042140
643410105200000
74232650355010
oct701127420400
9182544058300
1060286705920
1123627301501
12b825a90000
1358b9c81c6c
142cbc9a5c40
15187c9d7a30
hexe095e2100

60286705920 has 432 divisors, whose sum is σ = 247221636480. Its totient is φ = 13779320832.

The previous prime is 60286705909. The next prime is 60286705939. The reversal of 60286705920 is 2950768206.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×602867059203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2163436 + ... + 2191124.

Almost surely, 260286705920 is an apocalyptic number.

60286705920 is a gapful number since it is divisible by the number (60) 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 60286705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123610818240).

60286705920 is an abundant number, since it is smaller than the sum of its proper divisors (186934930560).

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

60286705920 is an equidigital number, since it uses as much as digits as its factorization.

60286705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27732 (or 27706 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 60286705920 in words is "sixty billion, two hundred eighty-six million, seven hundred five thousand, nine hundred twenty".