Search a number
-
+
896880 = 243537101
BaseRepresentation
bin11011010111101110000
31200120021210
43122331300
5212200010
631120120
710423545
oct3327560
91616253
10896880
11562926
12373040
132552ca
14194bcc
1512ab20
hexdaf70

896880 has 80 divisors (see below), whose sum is σ = 2883744. Its totient is φ = 230400.

The previous prime is 896879. The next prime is 896897. The reversal of 896880 is 88698.

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

It is a super-3 number, since 3×8968803 = 2164333957526016000, which contains 333 as substring.

It is a congruent number.

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, 8830 + ... + 8930.

2896880 is an apocalyptic number.

896880 is a gapful number since it is divisible by the number (80) 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 896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441872).

896880 is an abundant number, since it is smaller than the sum of its proper divisors (1986864).

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

896880 is a wasteful number, since it uses less digits than its factorization.

896880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 896880 is about 947.0374860585. The cubic root of 896880 is about 96.4372416268.

The spelling of 896880 in words is "eight hundred ninety-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 101 111 120 148 185 202 222 240 296 303 370 404 444 505 555 592 606 740 808 888 1010 1110 1212 1480 1515 1616 1776 2020 2220 2424 2960 3030 3737 4040 4440 4848 6060 7474 8080 8880 11211 12120 14948 18685 22422 24240 29896 37370 44844 56055 59792 74740 89688 112110 149480 179376 224220 298960 448440 896880