Search a number
-
+
120029696 = 29673499
BaseRepresentation
bin1110010011110…
…00001000000000
322100212010210022
413021320020000
5221211422241
615524353012
72655143543
oct711701000
9270763708
10120029696
11618320a6
1234245768
131bb375b7
1411d2685a
15a80e54b
hex7278200

120029696 has 40 divisors (see below), whose sum is σ = 243474000. Its totient is φ = 59102208.

The previous prime is 120029687. The next prime is 120029699. The reversal of 120029696 is 696920021.

It is not an unprimeable number, because it can be changed into a prime (120029699) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32555 + ... + 36053.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2120029696 is an apocalyptic number.

120029696 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 120029696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121737000).

120029696 is an abundant number, since it is smaller than the sum of its proper divisors (123444304).

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

120029696 is an frugal number, since it uses more digits than its factorization.

120029696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 120029696 is about 10955.8064970134. The cubic root of 120029696 is about 493.2830985291.

The spelling of 120029696 in words is "one hundred twenty million, twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1072 2144 3499 4288 6998 8576 13996 17152 27992 34304 55984 111968 223936 234433 447872 468866 895744 937732 1791488 1875464 3750928 7501856 15003712 30007424 60014848 120029696