Search a number
-
+
120773224 = 231113193547
BaseRepresentation
bin1110011001011…
…01101001101000
322102020220201101
413030231221220
5221404220344
615552331144
72664361345
oct714555150
9272226641
10120773224
116219a790
1234543ab4
131c037b60
141207b7cc
15a9099d4
hex732da68

120773224 has 64 divisors (see below), whose sum is σ = 267906240. Its totient is φ = 50319360.

The previous prime is 120773173. The next prime is 120773227. The reversal of 120773224 is 422377021.

It is a junction number, because it is equal to n+sod(n) for n = 120773192 and 120773201.

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 15 ways as a sum of consecutive naturals, for example, 220519 + ... + 221065.

It is an arithmetic number, because the mean of its divisors is an integer number (4186035).

Almost surely, 2120773224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120773224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133953120).

120773224 is an abundant number, since it is smaller than the sum of its proper divisors (147133016).

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

120773224 is a wasteful number, since it uses less digits than its factorization.

120773224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 120773224 is about 10989.6871657022. The cubic root of 120773224 is about 494.2995555138.

The spelling of 120773224 in words is "one hundred twenty million, seven hundred seventy-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 193 286 386 547 572 772 1094 1144 1544 2123 2188 2509 4246 4376 5018 6017 7111 8492 10036 12034 14222 16984 20072 24068 27599 28444 48136 55198 56888 78221 105571 110396 156442 211142 220792 312884 422284 625768 844568 1161281 1372423 2322562 2744846 4645124 5489692 9290248 10979384 15096653 30193306 60386612 120773224