Search a number
-
+
1000977104 = 24319832053
BaseRepresentation
bin111011101010011…
…011001011010000
32120202111220110002
4323222123023100
54022222231404
6243154225132
733543110411
oct7352331320
92522456402
101000977104
11474030a06
1223b2851a8
1312c4bcb5a
1496d23808
155cd25c1e
hex3ba9b2d0

1000977104 has 40 divisors (see below), whose sum is σ = 2004966912. Its totient is φ = 483615360.

The previous prime is 1000977101. The next prime is 1000977127. The reversal of 1000977104 is 4017790001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000977101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486542 + ... + 488594.

Almost surely, 21000977104 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 1000977104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002483456).

1000977104 is an abundant number, since it is smaller than the sum of its proper divisors (1003989808).

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

1000977104 is a wasteful number, since it uses less digits than its factorization.

1000977104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 1000977104 is about 31638.2222003702. Note that the first 4 decimals coincide. The cubic root of 1000977104 is about 1000.3255953095.

The spelling of 1000977104 in words is "one billion, nine hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 31 62 124 248 496 983 1966 2053 3932 4106 7864 8212 15728 16424 30473 32848 60946 63643 121892 127286 243784 254572 487568 509144 1018288 2018099 4036198 8072396 16144792 32289584 62561069 125122138 250244276 500488552 1000977104