Search a number
-
+
1042395480 = 233457194159
BaseRepresentation
bin111110001000011…
…011000101011000
32200122110011210000
4332020123011120
54113323123410
6251234053000
734555133610
oct7610330530
92618404700
101042395480
11495450175
1225111a160
13137c62179
149c625a40
15617a7dc0
hex3e21b158

1042395480 has 640 divisors, whose sum is σ = 4390848000. Its totient is φ = 216483840.

The previous prime is 1042395479. The next prime is 1042395533. The reversal of 1042395480 is 845932401.

1042395480 is a `hidden beast` number, since 104 + 2 + 3 + 9 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17667691 + ... + 17667749.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 21042395480 is an apocalyptic number.

1042395480 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 1042395480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424000).

1042395480 is an abundant number, since it is smaller than the sum of its proper divisors (3348452520).

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

1042395480 is a wasteful number, since it uses less digits than its factorization.

1042395480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1042395480 is about 32286.1499717758. The cubic root of 1042395480 is about 1013.9366929420.

The spelling of 1042395480 in words is "one billion, forty-two million, three hundred ninety-five thousand, four hundred eighty".