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1086920 = 23529937
BaseRepresentation
bin100001001010111001000
32001012222022
410021113020
5234240140
635144012
712144602
oct4112710
92035868
101086920
1168268a
12445008
132c0963
14204172
151670b5
hex1095c8

1086920 has 32 divisors (see below), whose sum is σ = 2532600. Its totient is φ = 419328.

The previous prime is 1086919. The next prime is 1086923. The reversal of 1086920 is 296801.

It can be written as a sum of positive squares in 4 ways, for example, as 605284 + 481636 = 778^2 + 694^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1086920.

It is not an unprimeable number, because it can be changed into a prime (1086923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692 + ... + 1628.

21086920 is an apocalyptic number.

1086920 is a gapful number since it is divisible by the number (10) 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 1086920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266300).

1086920 is an abundant number, since it is smaller than the sum of its proper divisors (1445680).

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

1086920 is a wasteful number, since it uses less digits than its factorization.

1086920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1086920 is about 1042.5545549275. The cubic root of 1086920 is about 102.8172206915.

The spelling of 1086920 in words is "one million, eighty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 937 1160 1874 3748 4685 7496 9370 18740 27173 37480 54346 108692 135865 217384 271730 543460 1086920