Search a number
-
+
1076163648 = 263717193767
BaseRepresentation
bin100000000100100…
…1111010001000000
32202222222202222220
41000021033101000
54200444214043
6254441531040
735445145230
oct10011172100
92688882886
101076163648
1150251474a
122604a3a80
13141c56331
14a2cd5cc0
1564728483
hex4024f440

1076163648 has 448 divisors, whose sum is σ = 3780495360. Its totient is φ = 262766592.

The previous prime is 1076163607. The next prime is 1076163659. The reversal of 1076163648 is 8463616701.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16062111 + ... + 16062177.

Almost surely, 21076163648 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 1076163648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890247680).

1076163648 is an abundant number, since it is smaller than the sum of its proper divisors (2704331712).

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

1076163648 is a wasteful number, since it uses less digits than its factorization.

1076163648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1076163648 is about 32804.9332875408. The cubic root of 1076163648 is about 1024.7692990210.

The spelling of 1076163648 in words is "one billion, seventy-six million, one hundred sixty-three thousand, six hundred forty-eight".