Search a number
-
+
120116736 = 29338689
BaseRepresentation
bin1110010100011…
…01011000000000
322101000120012000
413022031120000
5221222213421
615530304000
72655655365
oct712153000
9271016160
10120116736
1161891533
1234288000
131bb680bc
1411d4a46c
15a82a226
hex728d600

120116736 has 80 divisors (see below), whose sum is σ = 355594800. Its totient is φ = 40034304.

The previous prime is 120116719. The next prime is 120116771. The reversal of 120116736 is 637611021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9480 + ... + 18168.

It is an arithmetic number, because the mean of its divisors is an integer number (4444935).

Almost surely, 2120116736 is an apocalyptic number.

120116736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120116736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177797400).

120116736 is an abundant number, since it is smaller than the sum of its proper divisors (235478064).

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

120116736 is an frugal number, since it uses more digits than its factorization.

120116736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 120116736 is about 10959.7780999434. The cubic root of 120116736 is about 493.4023051039.

Adding to 120116736 its reverse (637611021), we get a palindrome (757727757).

The spelling of 120116736 in words is "one hundred twenty million, one hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 8689 13824 17378 26067 34756 52134 69512 78201 104268 139024 156402 208536 234603 278048 312804 417072 469206 556096 625608 834144 938412 1112192 1251216 1668288 1876824 2224384 2502432 3336576 3753648 4448768 5004864 6673152 7507296 10009728 13346304 15014592 20019456 30029184 40038912 60058368 120116736