Search a number
-
+
120552354 = 23313832069
BaseRepresentation
bin1110010111101…
…11101110100010
322101211200202000
413023313232202
5221330133404
615543504430
72662451406
oct713675642
9271750660
10120552354
116205984a
1234458116
131bc8b470
1412021106
15a8b4339
hex72f7ba2

120552354 has 64 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 36628416.

The previous prime is 120552307. The next prime is 120552373. The reversal of 120552354 is 453255021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57232 + ... + 59300.

It is an arithmetic number, because the mean of its divisors is an integer number (4564350).

Almost surely, 2120552354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120552354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146059200).

120552354 is an abundant number, since it is smaller than the sum of its proper divisors (171566046).

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

120552354 is a wasteful number, since it uses less digits than its factorization.

120552354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 120552354 is about 10979.6336004441. The cubic root of 120552354 is about 493.9980467286.

The spelling of 120552354 in words is "one hundred twenty million, five hundred fifty-two thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 234 249 351 498 702 747 1079 1494 2069 2158 2241 3237 4138 4482 6207 6474 9711 12414 18621 19422 26897 29133 37242 53794 55863 58266 80691 111726 161382 171727 242073 343454 484146 515181 726219 1030362 1452438 1545543 2232451 3091086 4464902 4636629 6697353 9273258 13394706 20092059 40184118 60276177 120552354