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1138564 = 227237157
BaseRepresentation
bin100010101111110000100
32010211211001
410111332010
5242413224
640223044
712451300
oct4257604
92124731
101138564
11708469
1246aa84
1330b30b
14218d00
15177544
hex115f84

1138564 has 36 divisors (see below), whose sum is σ = 2395596. Its totient is φ = 471744.

The previous prime is 1138559. The next prime is 1138567. The reversal of 1138564 is 4658311.

It can be written as a sum of positive squares in 2 ways, for example, as 705600 + 432964 = 840^2 + 658^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7174 + ... + 7330.

21138564 is an apocalyptic number.

1138564 is a gapful number since it is divisible by the number (14) 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 1138564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197798).

1138564 is an abundant number, since it is smaller than the sum of its proper divisors (1257032).

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

1138564 is a wasteful number, since it uses less digits than its factorization.

1138564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 1138564 is about 1067.0351446883. The cubic root of 1138564 is about 104.4205114252.

It can be divided in two parts, 11385 and 64, that added together give a square (11449 = 1072).

The spelling of 1138564 in words is "one million, one hundred thirty-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 157 196 259 314 518 628 1036 1099 1813 2198 3626 4396 5809 7252 7693 11618 15386 23236 30772 40663 81326 162652 284641 569282 1138564