Search a number
-
+
120892230 = 2335447749
BaseRepresentation
bin1110011010010…
…10101101000110
322102110221222000
413031022231012
5221422022410
615555050130
72665365324
oct715125506
9272427860
10120892230
1162271138
12345a0946
131c07a084
14120acd14
15a92edc0
hex734ab46

120892230 has 32 divisors (see below), whose sum is σ = 322380000. Its totient is φ = 32237856.

The previous prime is 120892229. The next prime is 120892237. The reversal of 120892230 is 32298021.

It is a happy number.

It is a super-2 number, since 2×1208922302 = 29229862548745800, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120892194 and 120892203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120892237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223605 + ... + 224144.

It is an arithmetic number, because the mean of its divisors is an integer number (10074375).

Almost surely, 2120892230 is an apocalyptic number.

120892230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120892230 is an abundant number, since it is smaller than the sum of its proper divisors (201487770).

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

120892230 is a wasteful number, since it uses less digits than its factorization.

120892230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447765 (or 447759 counting only the distinct ones).

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

The square root of 120892230 is about 10995.1002723941. The cubic root of 120892230 is about 494.4618577754.

The spelling of 120892230 in words is "one hundred twenty million, eight hundred ninety-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 447749 895498 1343247 2238745 2686494 4029741 4477490 6716235 8059482 12089223 13432470 20148705 24178446 40297410 60446115 120892230