Search a number
-
+
287813740 = 225174012111
BaseRepresentation
bin10001001001111…
…011000001101100
3202001120110020011
4101021323001230
51042140014430
644320503004
710063243054
oct2111730154
9661513204
10287813740
111385107a5
128047aa64
13478220b6
142a320564
151a40322a
hex1127b06c

287813740 has 48 divisors (see below), whose sum is σ = 641862144. Its totient is φ = 108032000.

The previous prime is 287813683. The next prime is 287813753. The reversal of 287813740 is 47318782.

It is a junction number, because it is equal to n+sod(n) for n = 287813693 and 287813702.

It is an unprimeable number.

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, 135285 + ... + 137395.

It is an arithmetic number, because the mean of its divisors is an integer number (13372128).

Almost surely, 2287813740 is an apocalyptic number.

287813740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287813740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320931072).

287813740 is an abundant number, since it is smaller than the sum of its proper divisors (354048404).

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

287813740 is a wasteful number, since it uses less digits than its factorization.

287813740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 287813740 is about 16965.0741230329. The cubic root of 287813740 is about 660.2430540378.

The spelling of 287813740 in words is "two hundred eighty-seven million, eight hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 401 802 1604 2005 2111 4010 4222 6817 8020 8444 10555 13634 21110 27268 34085 35887 42220 68170 71774 136340 143548 179435 358870 717740 846511 1693022 3386044 4232555 8465110 14390687 16930220 28781374 57562748 71953435 143906870 287813740