Search a number
-
+
1116842496 = 29372111971
BaseRepresentation
bin100001010010001…
…1010101000000000
32212211112110212220
41002210122220000
54241402424441
6302453451040
736451001400
oct10244325000
92784473786
101116842496
11523479330
12272040a80
1314a4c9b63
14a8484800
15680b1466
hex4291aa00

1116842496 has 480 divisors, whose sum is σ = 4030456320. Its totient is φ = 270950400.

The previous prime is 1116842479. The next prime is 1116842527. The reversal of 1116842496 is 6942486111.

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 47 ways as a sum of consecutive naturals, for example, 15730141 + ... + 15730211.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 21116842496 is an apocalyptic number.

1116842496 is a gapful number since it is divisible by the number (16) 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 1116842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015228160).

1116842496 is an abundant number, since it is smaller than the sum of its proper divisors (2913613824).

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

1116842496 is a wasteful number, since it uses less digits than its factorization.

1116842496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 1116842496 is about 33419.1935270736. The cubic root of 1116842496 is about 1037.5219898760.

The spelling of 1116842496 in words is "one billion, one hundred sixteen million, eight hundred forty-two thousand, four hundred ninety-six".