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120707172 = 22343710069
BaseRepresentation
bin1110011000111…
…01100001100100
322102010120010000
413030131201210
5221400112142
615551101300
72663664645
oct714354144
9272116100
10120707172
11621550a3
1234511830
131c013a81
14120616cc
15a8e514c
hex731d864

120707172 has 60 divisors (see below), whose sum is σ = 324113020. Its totient is φ = 39144384.

The previous prime is 120707159. The next prime is 120707173. The reversal of 120707172 is 271707021.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 48525156 = 8496^2 + 6966^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120707173) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6954 + ... + 17022.

Almost surely, 2120707172 is an apocalyptic number.

120707172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120707172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162056510).

120707172 is an abundant number, since it is smaller than the sum of its proper divisors (203405848).

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

120707172 is a wasteful number, since it uses less digits than its factorization.

120707172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122 (or 10111 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 120707172 is about 10986.6815736145. The cubic root of 120707172 is about 494.2094267389.

The spelling of 120707172 in words is "one hundred twenty million, seven hundred seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 10069 11988 20138 30207 40276 60414 90621 120828 181242 271863 362484 372553 543726 745106 815589 1087452 1117659 1490212 1631178 2235318 3262356 3352977 4470636 6705954 10058931 13411908 20117862 30176793 40235724 60353586 120707172