Search a number
-
+
120730792 = 23713383433
BaseRepresentation
bin1110011001000…
…11010010101000
322102011202111211
413030203102220
5221401341132
615551402504
72664123550
oct714432250
9272152454
10120730792
1162170916
1234523434
131c021750
141206a160
15a8ec147
hex73234a8

120730792 has 64 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 47526912.

The previous prime is 120730789. The next prime is 120730811. The reversal of 120730792 is 297037021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278608 + ... + 279040.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2120730792 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 120730792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

120730792 is an abundant number, since it is smaller than the sum of its proper divisors (159251288).

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

120730792 is a wasteful number, since it uses less digits than its factorization.

120730792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 120730792 is about 10987.7564588955. The cubic root of 120730792 is about 494.2416602981.

The spelling of 120730792 in words is "one hundred twenty million, seven hundred thirty thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 383 433 728 766 866 1532 1732 2681 3031 3064 3464 4979 5362 5629 6062 9958 10724 11258 12124 19916 21448 22516 24248 34853 39403 39832 45032 69706 78806 139412 157612 165839 278824 315224 331678 663356 1160873 1326712 2155907 2321746 4311814 4643492 8623628 9286984 15091349 17247256 30182698 60365396 120730792