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380851120 = 245133111813
BaseRepresentation
bin10110101100110…
…101001110110000
3222112122020112001
4112230311032300
51234444213440
6101442543344
712303116056
oct2654651660
9875566461
10380851120
11185a870a1
12a7667b54
1360b986c0
143881c1d6
152367eb9a
hex16b353b0

380851120 has 80 divisors (see below), whose sum is σ = 984436992. Its totient is φ = 136074240.

The previous prime is 380851117. The next prime is 380851139. The reversal of 380851120 is 21158083.

It is a tau number, because it is divible by the number of its divisors (80).

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, 26334 + ... + 38146.

Almost surely, 2380851120 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 380851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492218496).

380851120 is an abundant number, since it is smaller than the sum of its proper divisors (603585872).

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

380851120 is a wasteful number, since it uses less digits than its factorization.

380851120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 380851120 is about 19515.4072465834. The cubic root of 380851120 is about 724.8560126263.

The spelling of 380851120 in words is "three hundred eighty million, eight hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 1040 1240 1612 2015 2480 3224 4030 6448 8060 11813 16120 23626 32240 47252 59065 94504 118130 153569 189008 236260 307138 366203 472520 614276 732406 767845 945040 1228552 1464812 1535690 1831015 2457104 2929624 3071380 3662030 4760639 5859248 6142760 7324060 9521278 12285520 14648120 19042556 23803195 29296240 38085112 47606390 76170224 95212780 190425560 380851120