Search a number
-
+
119930256 = 24323892141
BaseRepresentation
bin1110010010111…
…11110110010000
322100200002101100
413021133312100
5221200232011
615522304400
72654250615
oct711376620
9270602340
10119930256
1161774416
12341b8100
131bb01264
1411cdc50c
15a7ded56
hex725fd90

119930256 has 60 divisors (see below), whose sum is σ = 336658140. Its totient is φ = 39855360.

The previous prime is 119930243. The next prime is 119930263. The reversal of 119930256 is 652039911.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 42771600 = 8784^2 + 6540^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 119930256.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54946 + ... + 57086.

It is an arithmetic number, because the mean of its divisors is an integer number (5610969).

Almost surely, 2119930256 is an apocalyptic number.

119930256 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 119930256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168329070).

119930256 is an abundant number, since it is smaller than the sum of its proper divisors (216727884).

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

119930256 is a wasteful number, since it uses less digits than its factorization.

119930256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 119930256 is about 10951.2673239219. The cubic root of 119930256 is about 493.1468388503.

The spelling of 119930256 in words is "one hundred nineteen million, nine hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 389 778 1167 1556 2141 2334 3112 3501 4282 4668 6224 6423 7002 8564 9336 12846 14004 17128 18672 19269 25692 28008 34256 38538 51384 56016 77076 102768 154152 308304 832849 1665698 2498547 3331396 4997094 6662792 7495641 9994188 13325584 14991282 19988376 29982564 39976752 59965128 119930256