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380514120 = 233573171429
BaseRepresentation
bin10110101011100…
…010111101001000
3222112000010020120
4112223202331020
51234402422440
6101431423240
712300213420
oct2653427510
9875003216
10380514120
11185876988
12a7524b20
1360aab1ac
1438771480
1523614dd0
hex16ae2f48

380514120 has 128 divisors (see below), whose sum is σ = 1309651200. Its totient is φ = 86639616.

The previous prime is 380514107. The next prime is 380514137. The reversal of 380514120 is 21415083.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265566 + ... + 266994.

It is an arithmetic number, because the mean of its divisors is an integer number (10231650).

Almost surely, 2380514120 is an apocalyptic number.

380514120 is a gapful number since it is divisible by the number (30) 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 380514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654825600).

380514120 is an abundant number, since it is smaller than the sum of its proper divisors (929137080).

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

380514120 is a wasteful number, since it uses less digits than its factorization.

380514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 380514120 is about 19506.7711320967. The cubic root of 380514120 is about 724.6421507880.

The spelling of 380514120 in words is "three hundred eighty million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 317 420 634 840 951 1268 1429 1585 1902 2219 2536 2858 3170 3804 4287 4438 4755 5716 6340 6657 7145 7608 8574 8876 9510 10003 11095 11432 12680 13314 14290 17148 17752 19020 20006 21435 22190 26628 28580 30009 33285 34296 38040 40012 42870 44380 50015 53256 57160 60018 66570 80024 85740 88760 100030 120036 133140 150045 171480 200060 240072 266280 300090 400120 452993 600180 905986 1200360 1358979 1811972 2264965 2717958 3170951 3623944 4529930 5435916 6341902 6794895 9059860 9512853 10871832 12683804 13589790 15854755 18119720 19025706 25367608 27179580 31709510 38051412 47564265 54359160 63419020 76102824 95128530 126838040 190257060 380514120