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1086264 = 233347107
BaseRepresentation
bin100001001001100111000
32001012002000
410021030320
5234230024
635141000
712142644
oct4111470
92035060
101086264
11682143
12444760
132c057a
14203c24
15166cc9
hex109338

1086264 has 64 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 351072.

The previous prime is 1086263. The next prime is 1086277. The reversal of 1086264 is 4626801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086263) 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, 10099 + ... + 10205.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

21086264 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 1086264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

1086264 is an abundant number, since it is smaller than the sum of its proper divisors (2024136).

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

1086264 is a wasteful number, since it uses less digits than its factorization.

1086264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1086264 is about 1042.2398956095. The cubic root of 1086264 is about 102.7965317507.

The spelling of 1086264 in words is "one million, eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 107 108 141 188 214 216 282 321 376 423 428 564 642 846 856 963 1128 1269 1284 1692 1926 2538 2568 2889 3384 3852 5029 5076 5778 7704 10058 10152 11556 15087 20116 23112 30174 40232 45261 60348 90522 120696 135783 181044 271566 362088 543132 1086264