Search a number
-
+
1076436116 = 227237151983
BaseRepresentation
bin100000000101001…
…0001110010010100
32210000111121202022
41000022101302110
54201031423431
6254451432312
735450361500
oct10012216224
92700447668
101076436116
11502690428
122605b5698
13142020362
14a2d67300
156477e07b
hex40291c94

1076436116 has 72 divisors (see below), whose sum is σ = 2267750016. Its totient is φ = 445435200.

The previous prime is 1076436113. The next prime is 1076436139. The reversal of 1076436116 is 6116346701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076436113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094561 + ... + 1095543.

It is an arithmetic number, because the mean of its divisors is an integer number (31496528).

Almost surely, 21076436116 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 1076436116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133875008).

1076436116 is an abundant number, since it is smaller than the sum of its proper divisors (1191313900).

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

1076436116 is a wasteful number, since it uses less digits than its factorization.

1076436116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 1076436116 is about 32809.0858757144. The cubic root of 1076436116 is about 1024.8557769715.

The spelling of 1076436116 in words is "one billion, seventy-six million, four hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 151 196 259 302 518 604 983 1036 1057 1813 1966 2114 3626 3932 4228 5587 6881 7252 7399 11174 13762 14798 22348 27524 29596 36371 39109 48167 72742 78218 96334 145484 148433 156436 192668 254597 273763 296866 509194 547526 593732 1018388 1039031 1095052 1782179 2078062 3564358 4156124 5492021 7128716 7273217 10984042 14546434 21968084 29092868 38444147 76888294 153776588 269109029 538218058 1076436116