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120917214 = 232112332621
BaseRepresentation
bin1110011010100…
…00110011011110
322102112020020100
413031100303132
5221423322324
615555401530
72665531215
oct715206336
9272466210
10120917214
1162288990
12345b32a6
131c088562
14120b807c
15a9374c9
hex7350cde

120917214 has 48 divisors (see below), whose sum is σ = 287140464. Its totient is φ = 36470400.

The previous prime is 120917213. The next prime is 120917239. The reversal of 120917214 is 412719021.

It is a super-3 number, since 3×1209172143 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120917213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44824 + ... + 47444.

It is an arithmetic number, because the mean of its divisors is an integer number (5982093).

Almost surely, 2120917214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120917214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143570232).

120917214 is an abundant number, since it is smaller than the sum of its proper divisors (166223250).

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

120917214 is a wasteful number, since it uses less digits than its factorization.

120917214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 120917214 is about 10996.2363561357. The cubic root of 120917214 is about 494.4959178197.

The spelling of 120917214 in words is "one hundred twenty million, nine hundred seventeen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 233 466 699 1398 2097 2563 2621 4194 5126 5242 7689 7863 15378 15726 23067 23589 28831 46134 47178 57662 86493 172986 259479 518958 610693 1221386 1832079 3664158 5496237 6717623 10992474 13435246 20152869 40305738 60458607 120917214