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114663744 = 26321315313
BaseRepresentation
bin1101101010110…
…10000101000000
321222202112002100
412311122011000
5213323214434
615213350400
72561424426
oct665320500
9258675070
10114663744
11597a7628
1232498400
131a9a9090
141132b116
15a0ee699
hex6d5a140

114663744 has 84 divisors (see below), whose sum is σ = 353967796. Its totient is φ = 35278848.

The previous prime is 114663737. The next prime is 114663799. The reversal of 114663744 is 447366411.

114663744 is a `hidden beast` number, since 1 + 14 + 6 + 637 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 109998144 = 2160^2 + 10488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114663699 and 114663708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169 + ... + 15144.

Almost surely, 2114663744 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 114663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176983898).

114663744 is an abundant number, since it is smaller than the sum of its proper divisors (239304052).

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

114663744 is a wasteful number, since it uses less digits than its factorization.

114663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15344 (or 15331 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 114663744 is about 10708.1158006439. The cubic root of 114663744 is about 485.8199810845.

It can be divided in two parts, 11466 and 3744, that multiplied together give a square (42928704 = 65522).

The spelling of 114663744 in words is "one hundred fourteen million, six hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 15313 30626 45939 61252 91878 122504 137817 183756 199069 245008 275634 367512 398138 490016 551268 597207 735024 796276 980032 1102536 1194414 1470048 1592552 1791621 2205072 2388828 2940096 3185104 3583242 4410144 4777656 6370208 7166484 8820288 9555312 12740416 14332968 19110624 28665936 38221248 57331872 114663744