Search a number
-
+
120104192 = 2813151239
BaseRepresentation
bin1110010100010…
…10010100000000
322100222220222102
413022022110000
5221221313232
615530125532
72655603665
oct712122400
9270886872
10120104192
116188306a
12342808a8
131bb62490
1411d45a6c
15a826662
hex728a500

120104192 has 72 divisors (see below), whose sum is σ = 260977920. Its totient is φ = 54835200.

The previous prime is 120104191. The next prime is 120104207. The reversal of 120104192 is 291401021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120104191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502409 + ... + 502647.

Almost surely, 2120104192 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 120104192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

120104192 is an abundant number, since it is smaller than the sum of its proper divisors (140873728).

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

120104192 is a wasteful number, since it uses less digits than its factorization.

120104192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 120104192 is about 10959.2058106416. The cubic root of 120104192 is about 493.3851288853.

The spelling of 120104192 in words is "one hundred twenty million, one hundred four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 151 208 239 256 302 416 478 604 832 956 1208 1664 1912 1963 2416 3107 3328 3824 3926 4832 6214 7648 7852 9664 12428 15296 15704 19328 24856 30592 31408 36089 38656 49712 61184 62816 72178 99424 125632 144356 198848 251264 288712 397696 469157 502528 577424 795392 938314 1154848 1876628 2309696 3753256 4619392 7506512 9238784 15013024 30026048 60052096 120104192