Search a number
-
+
120878982 = 23272314421
BaseRepresentation
bin1110011010001…
…11011110000110
322102110021210100
413031013132012
5221421111412
615554504530
72665311600
oct715073606
9272407710
10120878982
1162262194
1234595146
131c074033
14120a8170
15a92aedc
hex7347786

120878982 has 72 divisors (see below), whose sum is σ = 314563392. Its totient is φ = 33415200.

The previous prime is 120878941. The next prime is 120879001. The reversal of 120878982 is 289878021.

It is a happy number.

It is a super-2 number, since 2×1208789822 = 29223456578712648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25132 + ... + 29552.

It is an arithmetic number, because the mean of its divisors is an integer number (4368936).

Almost surely, 2120878982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120878982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157281696).

120878982 is an abundant number, since it is smaller than the sum of its proper divisors (193684410).

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

120878982 is a wasteful number, since it uses less digits than its factorization.

120878982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 120878982 is about 10994.4978057208. The cubic root of 120878982 is about 494.4437952139.

The spelling of 120878982 in words is "one hundred twenty million, eight hundred seventy-eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4421 4557 8842 9114 13263 13671 26526 27342 30947 39789 61894 79578 92841 137051 185682 216629 274102 278523 411153 433258 557046 649887 822306 959357 1233459 1299774 1918714 1949661 2466918 2878071 3899322 5756142 6715499 8634213 13430998 17268426 20146497 40292994 60439491 120878982