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986420 = 225313743
BaseRepresentation
bin11110000110100110100
31212010010002
43300310310
5223031140
633050432
711245601
oct3606464
91763102
10986420
11614126
123b6a18
13286ca6
141b96a8
15147415
hexf0d34

986420 has 48 divisors (see below), whose sum is σ = 2247168. Its totient is φ = 362880.

The previous prime is 986417. The next prime is 986429. The reversal of 986420 is 24689.

986420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986429) 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, 22919 + ... + 22961.

It is an arithmetic number, because the mean of its divisors is an integer number (46816).

2986420 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 986420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123584).

986420 is an abundant number, since it is smaller than the sum of its proper divisors (1260748).

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

986420 is a wasteful number, since it uses less digits than its factorization.

986420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 986420 is about 993.1867900853. The cubic root of 986420 is about 99.5452686618.

The spelling of 986420 in words is "nine hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 43 62 74 86 124 148 155 172 185 215 310 370 430 620 740 860 1147 1333 1591 2294 2666 3182 4588 5332 5735 6364 6665 7955 11470 13330 15910 22940 26660 31820 49321 98642 197284 246605 493210 986420