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861420 = 223572293
BaseRepresentation
bin11010010010011101100
31121202122110
43102103230
5210031140
630244020
710215300
oct3222354
91552573
10861420
1153921a
12356610
13242121
14185d00
15120380
hexd24ec

861420 has 72 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 196224.

The previous prime is 861391. The next prime is 861433. The reversal of 861420 is 24168.

861420 is digitally balanced in base 2, 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2794 + ... + 3086.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

861420 is a Friedman number, since it can be written as 210*(8^4+6), using all its digits and the basic arithmetic operations.

2861420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 861420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672).

861420 is an abundant number, since it is smaller than the sum of its proper divisors (1953924).

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

861420 is a wasteful number, since it uses less digits than its factorization.

861420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 861420 is about 928.1271464622. The cubic root of 861420 is about 95.1491654786.

Adding to 861420 its reverse (24168), we get a palindrome (885588).

The spelling of 861420 in words is "eight hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 293 294 420 490 586 588 735 879 980 1172 1465 1470 1758 2051 2930 2940 3516 4102 4395 5860 6153 8204 8790 10255 12306 14357 17580 20510 24612 28714 30765 41020 43071 57428 61530 71785 86142 123060 143570 172284 215355 287140 430710 861420