Search a number
-
+
120048984 = 233211413697
BaseRepresentation
bin1110010011111…
…00110101011000
322100220010020200
413021330311120
5221213031414
615525022200
72655254016
oct711746530
9270803220
10120048984
1161845640
1234254960
131bb43303
1411d2d8b6
15a815109
hex727cd58

120048984 has 96 divisors (see below), whose sum is σ = 363439440. Its totient is φ = 35481600.

The previous prime is 120048961. The next prime is 120048989. The reversal of 120048984 is 489840021.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120048989) 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, 30624 + ... + 34320.

Almost surely, 2120048984 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 120048984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181719720).

120048984 is an abundant number, since it is smaller than the sum of its proper divisors (243390456).

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

120048984 is a wasteful number, since it uses less digits than its factorization.

120048984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120048984 is about 10956.6867254659. The cubic root of 120048984 is about 493.3095195875.

The spelling of 120048984 in words is "one hundred twenty million, forty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 369 396 451 492 738 792 902 984 1353 1476 1804 2706 2952 3608 3697 4059 5412 7394 8118 10824 11091 14788 16236 22182 29576 32472 33273 40667 44364 66546 81334 88728 122001 133092 151577 162668 244002 266184 303154 325336 366003 454731 488004 606308 732006 909462 976008 1212616 1364193 1464012 1667347 1818924 2728386 2928024 3334694 3637848 5002041 5456772 6669388 10004082 10913544 13338776 15006123 20008164 30012246 40016328 60024492 120048984