Search a number
-
+
8132943000 = 23353713313
BaseRepresentation
bin1111001001100001…
…01101110010011000
3202222210120022102010
413210300231302120
5113124013134000
63423005105520
7405353606040
oct74460556230
922883508363
108132943000
1134a391a4a6
1216ab8582a0
139c7c4c310
145721d2720
1532900ad50
hex1e4c2dc98

8132943000 has 512 divisors, whose sum is σ = 32271482880. Its totient is φ = 1660608000.

The previous prime is 8132942999. The next prime is 8132943043. The reversal of 8132943000 is 3492318.

It is a super-2 number, since 2×81329430002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 262352985 + ... + 262353015.

It is an arithmetic number, because the mean of its divisors is an integer number (63030240).

Almost surely, 28132943000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8132943000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135741440).

8132943000 is an abundant number, since it is smaller than the sum of its proper divisors (24138539880).

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

8132943000 is a wasteful number, since it uses less digits than its factorization.

8132943000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 8132943000 is about 90182.8309602221. The cubic root of 8132943000 is about 2011.0177761821.

The spelling of 8132943000 in words is "eight billion, one hundred thirty-two million, nine hundred forty-three thousand".