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287120340 = 2232513122701
BaseRepresentation
bin10001000111010…
…001101111010100
3202000021020001200
4101013101233110
51042000322330
644253552500
710054324353
oct2107215724
9660236050
10287120340
11138087841
12801a5730
134763b5c0
142a1bd99a
151a317a60
hex111d1bd4

287120340 has 72 divisors (see below), whose sum is σ = 937934088. Its totient is φ = 70675200.

The previous prime is 287120311. The next prime is 287120347. The reversal of 287120340 is 43021782.

It can be written as a sum of positive squares in 4 ways, for example, as 50637456 + 236482884 = 7116^2 + 15378^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287120347) 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, 59011 + ... + 63690.

Almost surely, 2287120340 is an apocalyptic number.

287120340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287120340 is an abundant number, since it is smaller than the sum of its proper divisors (650813748).

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

287120340 is a wasteful number, since it uses less digits than its factorization.

287120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122729 (or 122724 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 287120340 is about 16944.6256966626. The cubic root of 287120340 is about 659.7124091375.

The spelling of 287120340 in words is "two hundred eighty-seven million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 122701 245402 368103 490804 613505 736206 1104309 1227010 1472412 1595113 1840515 2208618 2454020 3190226 3681030 4417236 4785339 5521545 6380452 7362060 7975565 9570678 11043090 14356017 15951130 19141356 22086180 23926695 28712034 31902260 47853390 57424068 71780085 95706780 143560170 287120340