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114775290 = 2325723892
BaseRepresentation
bin1101101011101…
…01010011111010
321222222012002200
412311311103322
5213340302130
615220011030
72562400560
oct665652372
9258865080
10114775290
1159873413
1232530a76
131aa17a96
1411359a30
15a122760
hex6d754fa

114775290 has 144 divisors (see below), whose sum is σ = 359918208. Its totient is φ = 24811776.

The previous prime is 114775261. The next prime is 114775291. The reversal of 114775290 is 92577411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114775291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1289566 + ... + 1289654.

It is an arithmetic number, because the mean of its divisors is an integer number (2499432).

Almost surely, 2114775290 is an apocalyptic number.

114775290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114775290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179959104).

114775290 is an abundant number, since it is smaller than the sum of its proper divisors (245142918).

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

114775290 is a wasteful number, since it uses less digits than its factorization.

114775290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 114775290 is about 10713.3230138926. The cubic root of 114775290 is about 485.9774668209.

The spelling of 114775290 in words is "one hundred fourteen million, seven hundred seventy-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 89 90 105 115 126 138 161 178 207 210 230 267 315 322 345 414 445 483 534 623 630 690 801 805 890 966 1035 1246 1335 1449 1602 1610 1869 2047 2070 2415 2670 2898 3115 3738 4005 4094 4830 5607 6141 6230 7245 7921 8010 9345 10235 11214 12282 14329 14490 15842 18423 18690 20470 23763 28035 28658 30705 36846 39605 42987 47526 55447 56070 61410 71289 71645 79210 85974 92115 110894 118815 128961 142578 143290 166341 182183 184230 214935 237630 257922 277235 332682 356445 364366 429870 499023 546549 554470 644805 712890 831705 910915 998046 1093098 1275281 1289610 1639647 1663410 1821830 2495115 2550562 2732745 3279294 3825843 4990230 5465490 6376405 7651686 8198235 11477529 12752810 16396470 19129215 22955058 38258430 57387645 114775290