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287115420 = 223518012657
BaseRepresentation
bin10001000111010…
…000100010011100
3202000020222022110
4101013100202130
51042000143140
644253514020
710054304124
oct2107204234
9660228273
10287115420
11138084079
12801a2910
13476392a7
142a1bbc84
151a316380
hex111d089c

287115420 has 48 divisors (see below), whose sum is σ = 804672288. Its totient is φ = 76492800.

The previous prime is 287115419. The next prime is 287115443. The reversal of 287115420 is 24511782.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106732 + ... + 109388.

It is an arithmetic number, because the mean of its divisors is an integer number (16764006).

Almost surely, 2287115420 is an apocalyptic number.

287115420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287115420 is an abundant number, since it is smaller than the sum of its proper divisors (517556868).

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

287115420 is a wasteful number, since it uses less digits than its factorization.

287115420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 287115420 is about 16944.4805172658. The cubic root of 287115420 is about 659.7086409108.

The spelling of 287115420 in words is "two hundred eighty-seven million, one hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1801 2657 3602 5314 5403 7204 7971 9005 10628 10806 13285 15942 18010 21612 26570 27015 31884 36020 39855 53140 54030 79710 108060 159420 4785257 9570514 14355771 19141028 23926285 28711542 47852570 57423084 71778855 95705140 143557710 287115420