Search a number
-
+
120049416 = 23321667353
BaseRepresentation
bin1110010011111…
…00111100001000
322100220010211200
413021330330020
5221213040131
615525024200
72655255204
oct711747410
9270803750
10120049416
11618459a3
1234255060
131bb43576
1411d2db04
15a8152e6
hex727cf08

120049416 has 24 divisors (see below), whose sum is σ = 325134030. Its totient is φ = 40016448.

The previous prime is 120049411. The next prime is 120049451. The reversal of 120049416 is 614940021.

120049416 is a `hidden beast` number, since 1 + 200 + 49 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88172100 + 31877316 = 9390^2 + 5646^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120049416.

It is not an unprimeable number, because it can be changed into a prime (120049411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 833605 + ... + 833748.

Almost surely, 2120049416 is an apocalyptic number.

It is an amenable number.

120049416 is an abundant number, since it is smaller than the sum of its proper divisors (205084614).

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

120049416 is a wasteful number, since it uses less digits than its factorization.

120049416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667365 (or 1667358 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120049416 is about 10956.7064394370. The cubic root of 120049416 is about 493.3101113166.

Adding to 120049416 its reverse (614940021), we get a palindrome (734989437).

The spelling of 120049416 in words is "one hundred twenty million, forty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1667353 3334706 5002059 6669412 10004118 13338824 15006177 20008236 30012354 40016472 60024708 120049416