Search a number
-
+
120274968 = 23311283499
BaseRepresentation
bin1110010101101…
…00000000011000
322101022121020110
413022310000120
5221242244333
615533524320
72660214612
oct712640030
9271277213
10120274968
116198a400
12343436a0
131bbc2128
1411d8bdb2
15a85c063
hex72b4018

120274968 has 96 divisors (see below), whose sum is σ = 335160000. Its totient is φ = 35935680.

The previous prime is 120274961. The next prime is 120274991. The reversal of 120274968 is 869472021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120274961) 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, 240783 + ... + 241281.

It is an arithmetic number, because the mean of its divisors is an integer number (3491250).

Almost surely, 2120274968 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 120274968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167580000).

120274968 is an abundant number, since it is smaller than the sum of its proper divisors (214885032).

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

120274968 is a wasteful number, since it uses less digits than its factorization.

120274968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 120274968 is about 10966.9944834490. The cubic root of 120274968 is about 493.6188660354.

The spelling of 120274968 in words is "one hundred twenty million, two hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 121 132 166 242 249 264 332 363 484 498 499 664 726 913 968 996 998 1452 1497 1826 1992 1996 2739 2904 2994 3652 3992 5478 5489 5988 7304 10043 10956 10978 11976 16467 20086 21912 21956 30129 32934 40172 41417 43912 60258 60379 65868 80344 82834 120516 120758 124251 131736 165668 181137 241032 241516 248502 331336 362274 455587 483032 497004 724548 911174 994008 1366761 1449096 1822348 2733522 3644696 5011457 5467044 10022914 10934088 15034371 20045828 30068742 40091656 60137484 120274968