Search a number
-
+
120773226 = 23729229433
BaseRepresentation
bin1110011001011…
…01101001101010
322102020220201110
413030231221222
5221404220401
615552331150
72664361350
oct714555152
9272226643
10120773226
116219a792
1234543ab6
131c037b62
141207b7d0
15a9099d6
hex732da6a

120773226 has 64 divisors (see below), whose sum is σ = 287481600. Its totient is φ = 33094656.

The previous prime is 120773173. The next prime is 120773227. The reversal of 120773226 is 622377021.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120773193 and 120773202.

It is not an unprimeable number, because it can be changed into a prime (120773227) 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, 278706 + ... + 279138.

It is an arithmetic number, because the mean of its divisors is an integer number (4491900).

Almost surely, 2120773226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120773226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143740800).

120773226 is an abundant number, since it is smaller than the sum of its proper divisors (166708374).

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

120773226 is a wasteful number, since it uses less digits than its factorization.

120773226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 120773226 is about 10989.6872566966. The cubic root of 120773226 is about 494.2995582423.

The spelling of 120773226 in words is "one hundred twenty million, seven hundred seventy-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 229 406 433 458 609 687 866 1218 1299 1374 1603 2598 3031 3206 4809 6062 6641 9093 9618 12557 13282 18186 19923 25114 37671 39846 46487 75342 87899 92974 99157 139461 175798 198314 263697 278922 297471 527394 594942 694099 1388198 2082297 2875553 4164594 5751106 8626659 17253318 20128871 40257742 60386613 120773226