Search a number
-
+
1076350660 = 2257211229313
BaseRepresentation
bin100000000100111…
…1100111011000100
32210000100021112021
41000021330323010
54201021210120
6254445532524
735446554400
oct10011747304
92700307467
101076350660
11502632200
12260574144
13141cc04a8
14a2d44100
1564763aaa
hex4027cec4

1076350660 has 216 divisors, whose sum is σ = 2999346840. Its totient is φ = 322882560.

The previous prime is 1076350657. The next prime is 1076350669. The reversal of 1076350660 is 660536701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 379456 + 1075971204 = 616^2 + 32802^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1076350669) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3438664 + ... + 3438976.

It is an arithmetic number, because the mean of its divisors is an integer number (13885865).

Almost surely, 21076350660 is an apocalyptic number.

1076350660 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 1076350660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499673420).

1076350660 is an abundant number, since it is smaller than the sum of its proper divisors (1922996180).

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

1076350660 is a wasteful number, since it uses less digits than its factorization.

1076350660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 1076350660 is about 32807.7835276935. The cubic root of 1076350660 is about 1024.8286558720.

The spelling of 1076350660 in words is "one billion, seventy-six million, three hundred fifty thousand, six hundred sixty".