Search a number
-
+
1052160000 = 212354137
BaseRepresentation
bin111110101101101…
…011000000000000
32201022211021011220
4332231223000000
54123323110000
6252223235040
735034132603
oct7655530000
92638737156
101052160000
1149aa0a421
12254448a80
13139ca07a8
149da4833a
15625861a0
hex3eb6b000

1052160000 has 260 divisors, whose sum is σ = 3531238392. Its totient is φ = 278528000.

The previous prime is 1052159993. The next prime is 1052160019. The reversal of 1052160000 is 612501.

It is a super-2 number, since 2×10521600002 = 2214081331200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7679932 + ... + 7680068.

Almost surely, 21052160000 is an apocalyptic number.

1052160000 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 1052160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765619196).

1052160000 is an abundant number, since it is smaller than the sum of its proper divisors (2479078392).

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

1052160000 is an frugal number, since it uses more digits than its factorization.

1052160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1052160000 is about 32437.0158923413. The cubic root of 1052160000 is about 1017.0928369484.

Adding to 1052160000 its reverse (612501), we get a palindrome (1052772501).

The spelling of 1052160000 in words is "one billion, fifty-two million, one hundred sixty thousand".