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380987280 = 24335176383
BaseRepresentation
bin10110101101010…
…110011110010000
3222112220011022000
4112231112132100
51240013043110
6101445514000
712304224042
oct2655263620
9875804260
10380987280
1118606a423
12a7712900
1360c1567b
1438855a92
15236aa1c0
hex16b56790

380987280 has 80 divisors (see below), whose sum is σ = 1312296960. Its totient is φ = 101596032.

The previous prime is 380987279. The next prime is 380987281. The reversal of 380987280 is 82789083.

It is an interprime number because it is at equal distance from previous prime (380987279) and next prime (380987281).

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (380987281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86032 + ... + 90351.

It is an arithmetic number, because the mean of its divisors is an integer number (16403712).

Almost surely, 2380987280 is an apocalyptic number.

380987280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380987280 is an abundant number, since it is smaller than the sum of its proper divisors (931309680).

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

380987280 is a wasteful number, since it uses less digits than its factorization.

380987280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176405 (or 176393 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 380987280 is about 19518.8954605531. The cubic root of 380987280 is about 724.9423846406.

The spelling of 380987280 in words is "three hundred eighty million, nine hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 176383 352766 529149 705532 881915 1058298 1411064 1587447 1763830 2116596 2645745 2822128 3174894 3527660 4233192 4762341 5291490 6349788 7055320 7937235 8466384 9524682 10582980 12699576 14110640 15874470 19049364 21165960 23811705 25399152 31748940 38098728 42331920 47623410 63497880 76197456 95246820 126995760 190493640 380987280