Search a number
-
+
120472137 = 3323419463
BaseRepresentation
bin1110010111001…
…00001001001001
322101200121201000
413023210021021
5221320102022
615542045213
72661665502
oct713441111
9271617630
10120472137
1162004555
1234419809
131bc60ab6
1411dddba9
15a89a6ac
hex72e4249

120472137 has 32 divisors (see below), whose sum is σ = 187084800. Its totient is φ = 76473936.

The previous prime is 120472123. The next prime is 120472153. The reversal of 120472137 is 731274021.

It is a happy number.

It is not a de Polignac number, because 120472137 - 28 = 120471881 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120472137.

It is not an unprimeable number, because it can be changed into a prime (120472117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259968 + ... + 260430.

It is an arithmetic number, because the mean of its divisors is an integer number (5846400).

Almost surely, 2120472137 is an apocalyptic number.

It is an amenable number.

120472137 is a deficient number, since it is larger than the sum of its proper divisors (66612663).

120472137 is a wasteful number, since it uses less digits than its factorization.

120472137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 120472137 is about 10975.9800018039. The cubic root of 120472137 is about 493.8884516503. Note that the first 3 decimals are identical.

The spelling of 120472137 in words is "one hundred twenty million, four hundred seventy-two thousand, one hundred thirty-seven".

Divisors: 1 3 9 23 27 69 207 419 463 621 1257 1389 3771 4167 9637 10649 11313 12501 28911 31947 86733 95841 193997 260199 287523 581991 1745973 4461931 5237919 13385793 40157379 120472137