Search a number
-
+
381676560 = 24351983701
BaseRepresentation
bin10110101111111…
…110110000010000
3222121012011210220
4112233332300100
51240202122220
6101512353040
712313124436
oct2657766020
9877164726
10381676560
111864a0281
12a79a5780
13610c7325
1438994d56
1523794540
hex16bfec10

381676560 has 80 divisors (see below), whose sum is σ = 1245485760. Its totient is φ = 96422400.

The previous prime is 381676553. The next prime is 381676567. The reversal of 381676560 is 65676183.

It is an interprime number because it is at equal distance from previous prime (381676553) and next prime (381676567).

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

It is not an unprimeable number, because it can be changed into a prime (381676567) 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, 37291 + ... + 46410.

It is an arithmetic number, because the mean of its divisors is an integer number (15568572).

Almost surely, 2381676560 is an apocalyptic number.

381676560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381676560 is an abundant number, since it is smaller than the sum of its proper divisors (863809200).

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

381676560 is a wasteful number, since it uses less digits than its factorization.

381676560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83736 (or 83730 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 381676560 is about 19536.5442184640. The cubic root of 381676560 is about 725.3793084534.

The spelling of 381676560 in words is "three hundred eighty-one million, six hundred seventy-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 83701 167402 251103 334804 418505 502206 669608 837010 1004412 1255515 1339216 1590319 1674020 2008824 2511030 3180638 3348040 4017648 4770957 5022060 6361276 6696080 7951595 9541914 10044120 12722552 15903190 19083828 20088240 23854785 25445104 31806380 38167656 47709570 63612760 76335312 95419140 127225520 190838280 381676560