Search a number
-
+
120882294 = 2351319253
BaseRepresentation
bin1110011010010…
…00010001110110
322102110110100000
413031020101312
5221421213134
615554532130
72665324341
oct715102166
9272413300
10120882294
1162264725
1234597046
131c0756b0
14120a9458
15a92be99
hex7348476

120882294 has 144 divisors (see below), whose sum is σ = 314535312. Its totient is φ = 34572096.

The previous prime is 120882277. The next prime is 120882317. The reversal of 120882294 is 492288021.

It is a super-2 number, since 2×1208822942 = 29225058005404872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2280772 + ... + 2280824.

It is an arithmetic number, because the mean of its divisors is an integer number (2184273).

Almost surely, 2120882294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120882294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157267656).

120882294 is an abundant number, since it is smaller than the sum of its proper divisors (193653018).

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

120882294 is a wasteful number, since it uses less digits than its factorization.

120882294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120882294 is about 10994.6484254841. The cubic root of 120882294 is about 494.4483109780.

The spelling of 120882294 in words is "one hundred twenty million, eight hundred eighty-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 53 54 57 78 81 106 114 117 159 162 171 234 243 247 318 342 351 361 477 486 494 513 689 702 722 741 954 1007 1026 1053 1083 1378 1431 1482 1539 2014 2067 2106 2166 2223 2862 3021 3078 3159 3249 4134 4293 4446 4617 4693 6042 6201 6318 6498 6669 8586 9063 9234 9386 9747 12402 12879 13091 13338 14079 18126 18603 19133 19494 20007 25758 26182 27189 28158 29241 37206 38266 39273 40014 42237 54378 55809 57399 58482 60021 78546 81567 84474 87723 111618 114798 117819 120042 126711 163134 167427 172197 175446 235638 244701 248729 253422 334854 344394 353457 380133 489402 497458 516591 706914 746187 760266 1033182 1060371 1140399 1492374 1549773 2120742 2238561 2280798 3099546 3181113 4477122 4649319 6362226 6715683 9298638 13431366 20147049 40294098 60441147 120882294