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114866796 = 223112937811
BaseRepresentation
bin1101101100010…
…11101001101100
322000010211121210
412312023221230
5213401214141
615221554420
72563231422
oct666135154
9260124553
10114866796
1159926140
1232575a10
131aa4a625
1411381112
15a13e916
hex6d8ba6c

114866796 has 96 divisors (see below), whose sum is σ = 311028480. Its totient is φ = 32659200.

The previous prime is 114866779. The next prime is 114866797. The reversal of 114866796 is 697668411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114866797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141231 + ... + 142041.

It is an arithmetic number, because the mean of its divisors is an integer number (3239880).

Almost surely, 2114866796 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 114866796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514240).

114866796 is an abundant number, since it is smaller than the sum of its proper divisors (196161684).

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

114866796 is a wasteful number, since it uses less digits than its factorization.

114866796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 114866796 is about 10717.5928267499. The cubic root of 114866796 is about 486.1065830017.

The spelling of 114866796 in words is "one hundred fourteen million, eight hundred sixty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 37 44 58 66 74 87 111 116 132 148 174 222 319 348 407 444 638 811 814 957 1073 1221 1276 1622 1628 1914 2146 2433 2442 3219 3244 3828 4292 4866 4884 6438 8921 9732 11803 12876 17842 23519 23606 26763 30007 35409 35684 47038 47212 53526 60014 70557 70818 90021 94076 107052 120028 141114 141636 180042 258709 282228 330077 360084 517418 660154 776127 870203 990231 1034836 1320308 1552254 1740406 1980462 2610609 3104508 3480812 3960924 5221218 9572233 10442436 19144466 28716699 38288932 57433398 114866796