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285465040 = 2457736983
BaseRepresentation
bin10001000000111…
…101100111010000
3201220011010102021
4101000331213100
51041034340130
644154301224
710034261410
oct2100754720
9656133367
10285465040
11137157123
127b727814
13471ac033
1429cac640
151a0dc37a
hex1103d9d0

285465040 has 80 divisors (see below), whose sum is σ = 769022208. Its totient is φ = 96519168.

The previous prime is 285465023. The next prime is 285465043. The reversal of 285465040 is 40564582.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 285464987 and 285465005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285465043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37389 + ... + 44371.

Almost surely, 2285465040 is an apocalyptic number.

285465040 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 285465040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384511104).

285465040 is an abundant number, since it is smaller than the sum of its proper divisors (483557168).

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

285465040 is a wasteful number, since it uses less digits than its factorization.

285465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 285465040 is about 16895.7106982808. The cubic root of 285465040 is about 658.4421783749.

The spelling of 285465040 in words is "two hundred eighty-five million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 4088 5110 5840 6983 8176 10220 13966 20440 27932 34915 40880 48881 55864 69830 97762 111728 139660 195524 244405 279320 391048 488810 509759 558640 782096 977620 1019518 1955240 2039036 2548795 3568313 3910480 4078072 5097590 7136626 8156144 10195180 14273252 17841565 20390360 28546504 35683130 40780720 57093008 71366260 142732520 285465040