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114076776 = 233113153263
BaseRepresentation
bin1101100110010…
…10110001101000
321221122200220210
412303022301220
5213200424101
615153021120
72553431232
oct663126150
9257580823
10114076776
1159436630
12322547a0
131a831b68
1411217252
15a0357d6
hex6ccac68

114076776 has 128 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 32697600.

The previous prime is 114076769. The next prime is 114076819. The reversal of 114076776 is 677670411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433621 + ... + 433883.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2114076776 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 114076776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

114076776 is an abundant number, since it is smaller than the sum of its proper divisors (214381464).

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

114076776 is a wasteful number, since it uses less digits than its factorization.

114076776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 114076776 is about 10680.6730125025. The cubic root of 114076776 is about 484.9895856339.

The spelling of 114076776 in words is "one hundred fourteen million, seventy-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 53 62 66 88 93 106 124 132 159 186 212 248 263 264 318 341 372 424 526 583 636 682 744 789 1023 1052 1166 1272 1364 1578 1643 1749 2046 2104 2332 2728 2893 3156 3286 3498 4092 4664 4929 5786 6312 6572 6996 8153 8184 8679 9858 11572 13144 13939 13992 16306 17358 18073 19716 23144 24459 27878 32612 34716 36146 39432 41817 48918 54219 55756 65224 69432 72292 83634 89683 97836 108438 111512 144584 153329 167268 179366 195672 216876 269049 306658 334536 358732 432109 433752 459987 538098 613316 717464 864218 919974 1076196 1226632 1296327 1728436 1839948 2152392 2592654 3456872 3679896 4753199 5185308 9506398 10370616 14259597 19012796 28519194 38025592 57038388 114076776