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120043872 = 25321332063
BaseRepresentation
bin1110010011110…
…11100101100000
322100212212020100
413021323211200
5221212400442
615524542400
72655233064
oct711734540
9270785210
10120043872
1161841813
1234251a00
131bb40ba0
1411d2baa4
15a81384c
hex727b960

120043872 has 72 divisors (see below), whose sum is σ = 367645824. Its totient is φ = 36935424.

The previous prime is 120043871. The next prime is 120043879. The reversal of 120043872 is 278340021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120043871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12288 + ... + 19775.

It is an arithmetic number, because the mean of its divisors is an integer number (5106192).

Almost surely, 2120043872 is an apocalyptic number.

120043872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120043872 is an abundant number, since it is smaller than the sum of its proper divisors (247601952).

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

120043872 is a wasteful number, since it uses less digits than its factorization.

120043872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32092 (or 32081 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120043872 is about 10956.4534407809. The cubic root of 120043872 is about 493.3025173512.

Adding to 120043872 its reverse (278340021), we get a palindrome (398383893).

It can be divided in two parts, 12004 and 3872, that added together give a square (15876 = 1262).

The spelling of 120043872 in words is "one hundred twenty million, forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 32063 64126 96189 128252 192378 256504 288567 384756 416819 513008 577134 769512 833638 1026016 1154268 1250457 1539024 1667276 2308536 2500914 3078048 3334552 3751371 4617072 5001828 6669104 7502742 9234144 10003656 13338208 15005484 20007312 30010968 40014624 60021936 120043872