Search a number
-
+
286477380 = 223257227363
BaseRepresentation
bin10001000100110…
…100110001000100
3201222001120002100
4101010310301010
51041314234010
644232112100
710046006010
oct2104646104
9658046070
10286477380
11137788772
127bb35630
1347474a57
142a093540
151a23c2c0
hex11134c44

286477380 has 72 divisors (see below), whose sum is σ = 993125952. Its totient is φ = 65480256.

The previous prime is 286477379. The next prime is 286477381. The reversal of 286477380 is 83774682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (286477379) and next prime (286477381).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (286477381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112422 + ... + 114941.

It is an arithmetic number, because the mean of its divisors is an integer number (13793416).

Almost surely, 2286477380 is an apocalyptic number.

286477380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286477380 is an abundant number, since it is smaller than the sum of its proper divisors (706648572).

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

286477380 is a wasteful number, since it uses less digits than its factorization.

286477380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227385 (or 227380 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 286477380 is about 16925.6426761290. The cubic root of 286477380 is about 659.2196010182.

The spelling of 286477380 in words is "two hundred eighty-six million, four hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 227363 454726 682089 909452 1136815 1364178 1591541 2046267 2273630 2728356 3183082 3410445 4092534 4547260 4774623 6366164 6820890 7957705 8185068 9549246 10231335 13641780 14323869 15915410 19098492 20462670 23873115 28647738 31830820 40925340 47746230 57295476 71619345 95492460 143238690 286477380