Search a number
-
+
285750120 = 233519125329
BaseRepresentation
bin10001000010000…
…011001101101000
3201220200121110210
4101002003031220
51041123000440
644204341120
710036556505
oct2102031550
9656617423
10285750120
11137331327
127b8447a0
134727ba16
1429d444ac
151a146a80
hex11083368

285750120 has 64 divisors (see below), whose sum is σ = 902376000. Its totient is φ = 72188928.

The previous prime is 285750107. The next prime is 285750151. The reversal of 285750120 is 21057582.

285750120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60385 + ... + 64944.

It is an arithmetic number, because the mean of its divisors is an integer number (14099625).

Almost surely, 2285750120 is an apocalyptic number.

285750120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285750120 is an abundant number, since it is smaller than the sum of its proper divisors (616625880).

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

285750120 is a wasteful number, since it uses less digits than its factorization.

285750120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125362 (or 125358 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 285750120 is about 16904.1450538026. The cubic root of 285750120 is about 658.6612901392.

The spelling of 285750120 in words is "two hundred eighty-five million, seven hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 125329 250658 375987 501316 626645 751974 1002632 1253290 1503948 1879935 2381251 2506580 3007896 3759870 4762502 5013160 7143753 7519740 9525004 11906255 14287506 15039480 19050008 23812510 28575012 35718765 47625020 57150024 71437530 95250040 142875060 285750120