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890240 = 27513107
BaseRepresentation
bin11011001010110000000
31200020011212
43121112000
5211441430
631025252
710365311
oct3312600
91606155
10890240
1155893a
1236b228
13252290
14192608
15128b95
hexd9580

890240 has 64 divisors (see below), whose sum is σ = 2313360. Its totient is φ = 325632.

The previous prime is 890237. The next prime is 890287. The reversal of 890240 is 42098.

890240 = T337 + T338 + ... + T351.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8267 + ... + 8373.

2890240 is an apocalyptic number.

890240 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 890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156680).

890240 is an abundant number, since it is smaller than the sum of its proper divisors (1423120).

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

890240 is a wasteful number, since it uses less digits than its factorization.

890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 890240 is about 943.5253043772. The cubic root of 890240 is about 96.1986626774.

The spelling of 890240 in words is "eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 128 130 160 208 214 260 320 416 428 520 535 640 832 856 1040 1070 1391 1664 1712 2080 2140 2782 3424 4160 4280 5564 6848 6955 8320 8560 11128 13696 13910 17120 22256 27820 34240 44512 55640 68480 89024 111280 178048 222560 445120 890240