Search a number
-
+
120668873 = 1321797433
BaseRepresentation
bin1110011000101…
…00001011001001
322102001121120112
413030110023021
5221342400443
615550204105
72663445203
oct714241311
9272047515
10120668873
1162129346
12344b3635
131bccc500
1412051773
15a8d8b18
hex73142c9

120668873 has 24 divisors (see below), whose sum is σ = 140100408. Its totient is φ = 103514112.

The previous prime is 120668843. The next prime is 120668893. The reversal of 120668873 is 378866021.

120668873 = 10672 + 10682 + ... + 11632.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 72046144 + 48622729 = 8488^2 + 6973^2 .

It is not a de Polignac number, because 120668873 - 210 = 120667849 is a prime.

It is a super-2 number, since 2×1206688732 = 29121953822180258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120668873.

It is not an unprimeable number, because it can be changed into a prime (120668843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278465 + ... + 278897.

It is an arithmetic number, because the mean of its divisors is an integer number (5837517).

Almost surely, 2120668873 is an apocalyptic number.

120668873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120668873 is a deficient number, since it is larger than the sum of its proper divisors (19431535).

120668873 is a wasteful number, since it uses less digits than its factorization.

120668873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 120668873 is about 10984.9384613661. The cubic root of 120668873 is about 494.1571522172.

The spelling of 120668873 in words is "one hundred twenty million, six hundred sixty-eight thousand, eight hundred seventy-three".

Divisors: 1 13 17 97 169 221 433 1261 1649 2873 5629 7361 16393 21437 42001 73177 95693 278681 546013 714017 1244009 7098169 9282221 120668873