Search a number
-
+
120416130 = 23253736161
BaseRepresentation
bin1110010110101…
…10011110000010
322101120202212200
413023112132002
5221311304010
615540534030
72661343302
oct713263602
9271522780
10120416130
1161a7646a
12343b1316
131bc41463
1411dc7602
15a888cc0
hex72d6782

120416130 has 48 divisors (see below), whose sum is σ = 321552504. Its totient is φ = 31242240.

The previous prime is 120416113. The next prime is 120416137. The reversal of 120416130 is 31614021.

It is a happy number.

120416130 is a `hidden beast` number, since 12 + 0 + 41 + 613 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119705481 + 710649 = 10941^2 + 843^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120416137) 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, 14751 + ... + 21410.

Almost surely, 2120416130 is an apocalyptic number.

120416130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120416130 is an abundant number, since it is smaller than the sum of its proper divisors (201136374).

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

120416130 is a wasteful number, since it uses less digits than its factorization.

120416130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36211 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120416130 is about 10973.4283612734. The cubic root of 120416130 is about 493.8119042183.

The spelling of 120416130 in words is "one hundred twenty million, four hundred sixteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 36161 72322 108483 180805 216966 325449 361610 542415 650898 1084830 1337957 1627245 2675914 3254490 4013871 6689785 8027742 12041613 13379570 20069355 24083226 40138710 60208065 120416130