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287372020 = 225132938113
BaseRepresentation
bin10001001000001…
…111001011110100
3202000202000022011
4101020033023310
51042031401040
644303214004
710056423205
oct2110171364
9660660264
10287372020
11138239941
12802a7304
13476c9020
142a2475ac
151a3673ea
hex1120f2f4

287372020 has 48 divisors (see below), whose sum is σ = 672330960. Its totient is φ = 102445056.

The previous prime is 287371943. The next prime is 287372027. The reversal of 287372020 is 20273782.

It can be written as a sum of positive squares in 8 ways, for example, as 13337104 + 274034916 = 3652^2 + 16554^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287372027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11517 + ... + 26596.

It is an arithmetic number, because the mean of its divisors is an integer number (14006895).

Almost surely, 2287372020 is an apocalyptic number.

287372020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

287372020 is an abundant number, since it is smaller than the sum of its proper divisors (384958940).

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

287372020 is a wasteful number, since it uses less digits than its factorization.

287372020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38164 (or 38162 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 287372020 is about 16952.0506134214. The cubic root of 287372020 is about 659.9051133869.

The spelling of 287372020 in words is "two hundred eighty-seven million, three hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 38113 76226 152452 190565 381130 495469 762260 990938 1105277 1981876 2210554 2477345 4421108 4954690 5526385 9909380 11052770 14368601 22105540 28737202 57474404 71843005 143686010 287372020