Search a number
-
+
120687028 = 227111392819
BaseRepresentation
bin1110011000110…
…00100110110100
322102002112110221
413030120212310
5221343441103
615550424124
72663552140
oct714304664
9272075427
10120687028
1162140a50
1234502044
131c007857
1412058220
15a8de1bd
hex73189b4

120687028 has 48 divisors (see below), whose sum is σ = 265305600. Its totient is φ = 46666080.

The previous prime is 120687019. The next prime is 120687041. The reversal of 120687028 is 820786021.

It is a junction number, because it is equal to n+sod(n) for n = 120686984 and 120687002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41403 + ... + 44221.

It is an arithmetic number, because the mean of its divisors is an integer number (5527200).

Almost surely, 2120687028 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 120687028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132652800).

120687028 is an abundant number, since it is smaller than the sum of its proper divisors (144618572).

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

120687028 is a wasteful number, since it uses less digits than its factorization.

120687028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 120687028 is about 10985.7647890349. The cubic root of 120687028 is about 494.1819334580.

The spelling of 120687028 in words is "one hundred twenty million, six hundred eighty-seven thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 139 154 278 308 556 973 1529 1946 2819 3058 3892 5638 6116 10703 11276 19733 21406 31009 39466 42812 62018 78932 124036 217063 391841 434126 783682 868252 1567364 2742887 4310251 5485774 8620502 10971548 17241004 30171757 60343514 120687028