Search a number
-
+
1161220944 = 2431312714653
BaseRepresentation
bin100010100110110…
…1101001101010000
32222221001010200010
41011031231031100
54334233032234
6311120554520
740530133542
oct10515551520
92887033603
101161220944
1154652a534
12284a82a40
131567675b0
14b0317692
156be2a6e9
hex4536d350

1161220944 has 80 divisors (see below), whose sum is σ = 3256236032. Its totient is φ = 354461184.

The previous prime is 1161220943. The next prime is 1161221011. The reversal of 1161220944 is 4490221611.

It is a super-2 number, since 2×11612209442 = 2696868161568502272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161220943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71922 + ... + 86574.

Almost surely, 21161220944 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 1161220944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628118016).

1161220944 is an abundant number, since it is smaller than the sum of its proper divisors (2095015088).

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

1161220944 is a wasteful number, since it uses less digits than its factorization.

1161220944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14798 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1161220944 is about 34076.6920929834. The cubic root of 1161220944 is about 1051.0860852723.

The spelling of 1161220944 in words is "one billion, one hundred sixty-one million, two hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 762 1016 1524 1651 2032 3048 3302 4953 6096 6604 9906 13208 14653 19812 26416 29306 39624 43959 58612 79248 87918 117224 175836 190489 234448 351672 380978 571467 703344 761956 1142934 1523912 1860931 2285868 3047824 3721862 4571736 5582793 7443724 9143472 11165586 14887448 22331172 24192103 29774896 44662344 48384206 72576309 89324688 96768412 145152618 193536824 290305236 387073648 580610472 1161220944