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380104920 = 233351327073
BaseRepresentation
bin10110101001111…
…111000011011000
3222111020022221000
4112221333003120
51234301324140
6101414545000
712263560416
oct2651770330
9874208830
10380104920
111856174a8
12a7368160
1360996b70
14386a62b6
1523583a30
hex16a7f0d8

380104920 has 128 divisors (see below), whose sum is σ = 1364529600. Its totient is φ = 93560832.

The previous prime is 380104897. The next prime is 380104931. The reversal of 380104920 is 29401083.

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 31 ways as a sum of consecutive naturals, for example, 504 + ... + 27576.

Almost surely, 2380104920 is an apocalyptic number.

380104920 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 380104920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682264800).

380104920 is an abundant number, since it is smaller than the sum of its proper divisors (984424680).

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

380104920 is a wasteful number, since it uses less digits than its factorization.

380104920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27106 (or 27096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 380104920 is about 19496.2796451015. The cubic root of 380104920 is about 724.3823006637.

The spelling of 380104920 in words is "three hundred eighty million, one hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 27073 54146 81219 108292 135365 162438 216584 243657 270730 324876 351949 406095 487314 541460 649752 703898 730971 812190 974628 1055847 1082920 1218285 1407796 1461942 1624380 1759745 1949256 2111694 2436570 2815592 2923884 3167541 3248760 3519490 3654855 4223388 4873140 5279235 5847768 6335082 7038980 7309710 8446776 9502623 9746280 10558470 12670164 14077960 14619420 15837705 19005246 21116940 25340328 29238840 31675410 38010492 42233880 47513115 63350820 76020984 95026230 126701640 190052460 380104920