Search a number
-
+
120946689 = 35539391
BaseRepresentation
bin1110011010110…
…00000000000001
322102120201200000
413031120000001
5221430243224
620000150213
72666013153
oct715300001
9272521600
10120946689
11622a9046
1234608369
131c098ab6
14120c4ad3
15a9410c9
hex7358001

120946689 has 24 divisors (see below), whose sum is σ = 184609152. Its totient is φ = 79101360.

The previous prime is 120946669. The next prime is 120946691. The reversal of 120946689 is 986649021.

It is a happy number.

It is not a de Polignac number, because 120946689 - 27 = 120946561 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (120946669) 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, 8184 + ... + 17574.

It is an arithmetic number, because the mean of its divisors is an integer number (7692048).

It is a Proth number, since it is equal to 3691 ⋅ 215 + 1 and 3691 < 215.

Almost surely, 2120946689 is an apocalyptic number.

It is an amenable number.

120946689 is a deficient number, since it is larger than the sum of its proper divisors (63662463).

120946689 is an frugal number, since it uses more digits than its factorization.

120946689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 120946689 is about 10997.5765057580. The cubic root of 120946689 is about 494.5360942968.

The spelling of 120946689 in words is "one hundred twenty million, nine hundred forty-six thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 53 81 159 243 477 1431 4293 9391 12879 28173 84519 253557 497723 760671 1493169 2282013 4479507 13438521 40315563 120946689