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920812116 = 223723075101
BaseRepresentation
bin110110111000100…
…111101001010100
32101011200002202110
4312320213221110
53341211441431
6231212111020
731550526300
oct6670475124
92334602673
10920812116
11432857854
12218465470
13118a02653
148a416d00
1555c8d346
hex36e27a54

920812116 has 72 divisors (see below), whose sum is σ = 2507979936. Its totient is φ = 262180800.

The previous prime is 920812111. The next prime is 920812117. The reversal of 920812116 is 611218029.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920812111) 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, 177966 + ... + 183066.

Almost surely, 2920812116 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 920812116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253989968).

920812116 is an abundant number, since it is smaller than the sum of its proper divisors (1587167820).

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

920812116 is a wasteful number, since it uses less digits than its factorization.

920812116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 920812116 is about 30344.8861589560. The cubic root of 920812116 is about 972.8749213820.

The spelling of 920812116 in words is "nine hundred twenty million, eight hundred twelve thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 307 588 614 921 1228 1842 2149 3684 4298 5101 6447 8596 10202 12894 15043 15303 20404 25788 30086 30606 35707 45129 60172 61212 71414 90258 107121 142828 180516 214242 249949 428484 499898 749847 999796 1499694 1566007 2999388 3132014 4698021 6264028 9396042 10962049 18792084 21924098 32886147 43848196 65772294 76734343 131544588 153468686 230203029 306937372 460406058 920812116