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114700626 = 2322927577
BaseRepresentation
bin1101101011000…
…11000101010010
321222211101200100
412311203011102
5213330410001
615214233230
72561640105
oct665430522
9258741610
10114700626
1159822307
12324b5816
131a9bcac1
141133a73c
15a10a586
hex6d63152

114700626 has 36 divisors (see below), whose sum is σ = 257417082. Its totient is φ = 36910272.

The previous prime is 114700601. The next prime is 114700667. The reversal of 114700626 is 626007411.

It can be written as a sum of positive squares in 3 ways, for example, as 64786401 + 49914225 = 8049^2 + 7065^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114700626.

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 17 ways as a sum of consecutive naturals, for example, 11350 + ... + 18926.

Almost surely, 2114700626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114700626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128708541).

114700626 is an abundant number, since it is smaller than the sum of its proper divisors (142716456).

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

114700626 is a wasteful number, since it uses less digits than its factorization.

114700626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 114700626 is about 10709.8378138980. The cubic root of 114700626 is about 485.8720640741.

The spelling of 114700626 in words is "one hundred fourteen million, seven hundred thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 5046 7569 7577 15138 15154 22731 45462 68193 136386 219733 439466 659199 1318398 1977597 3955194 6372257 12744514 19116771 38233542 57350313 114700626