Search a number
-
+
1158068736 = 29321123167
BaseRepresentation
bin100010100000110…
…1011101000000000
32222201002222122200
41011001223220000
54332431144421
6310525233200
740461264456
oct10501535000
92881088580
101158068736
11544777200
12283a02800
13155c02896
14adb369d6
156ba06726
hex4506ba00

1158068736 has 360 divisors, whose sum is σ = 3848836992. Its totient is φ = 334540800.

The previous prime is 1158068731. The next prime is 1158068749. The reversal of 1158068736 is 6378608511.

1158068736 is a `hidden beast` number, since 1 + 1 + 580 + 68 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×11580687362 = 2682246394601275392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1158068691 and 1158068700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158068731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17284575 + ... + 17284641.

Almost surely, 21158068736 is an apocalyptic number.

1158068736 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 1158068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924418496).

1158068736 is an abundant number, since it is smaller than the sum of its proper divisors (2690768256).

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

1158068736 is a wasteful number, since it uses less digits than its factorization.

1158068736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1158068736 is about 34030.4089896081. The cubic root of 1158068736 is about 1050.1341434059.

The spelling of 1158068736 in words is "one billion, one hundred fifty-eight million, sixty-eight thousand, seven hundred thirty-six".