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120705472 = 2623431907
BaseRepresentation
bin1110011000111…
…01000111000000
322102010110210001
413030131013000
5221400033342
615551045344
72663656666
oct714350700
9272113701
10120705472
1162153898
1234510854
131c013074
1412060c36
15a8e48b7
hex731d1c0

120705472 has 56 divisors (see below), whose sum is σ = 255885696. Its totient is φ = 56356608.

The previous prime is 120705469. The next prime is 120705521. The reversal of 120705472 is 274507021.

It is a self number, because there is not a number n which added to its sum of digits gives 120705472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62343 + ... + 64249.

Almost surely, 2120705472 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 120705472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127942848).

120705472 is an abundant number, since it is smaller than the sum of its proper divisors (135180224).

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

120705472 is a wasteful number, since it uses less digits than its factorization.

120705472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 120705472 is about 10986.6042069422. The cubic root of 120705472 is about 494.2071066338.

The spelling of 120705472 in words is "one hundred twenty million, seven hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 43 46 64 86 92 172 184 344 368 688 736 989 1376 1472 1907 1978 2752 3814 3956 7628 7912 15256 15824 30512 31648 43861 61024 63296 82001 87722 122048 164002 175444 328004 350888 656008 701776 1312016 1403552 1886023 2624032 2807104 3772046 5248064 7544092 15088184 30176368 60352736 120705472