Search a number
-
+
10743131520 = 273351156519
BaseRepresentation
bin10100000000101011…
…10010110110000000
31000201201002121221000
422000111302312000
5134000220202040
64534010332000
7530140053102
oct120025626600
930651077830
1010743131520
1146132437a0
1220b9a2a000
13102294b874
1473cb27572
1542d250130
hex280572d80

10743131520 has 256 divisors, whose sum is σ = 41508288000. Its totient is φ = 2604349440.

The previous prime is 10743131491. The next prime is 10743131533. The reversal of 10743131520 is 2513134701.

10743131520 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 3 + 131 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 161821 + ... + 218339.

It is an arithmetic number, because the mean of its divisors is an integer number (162141750).

Almost surely, 210743131520 is an apocalyptic number.

10743131520 is a gapful number since it is divisible by the number (10) 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 10743131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754144000).

10743131520 is an abundant number, since it is smaller than the sum of its proper divisors (30765156480).

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

10743131520 is a wasteful number, since it uses less digits than its factorization.

10743131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56558 (or 56540 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10743131520 in words is "ten billion, seven hundred forty-three million, one hundred thirty-one thousand, five hundred twenty".