Search a number
-
+
1356138 = 232747229
BaseRepresentation
bin101001011000101101010
32112220021100
411023011222
5321344023
645022230
714345520
oct5130552
92486240
101356138
11846983
12554976
13386364
14274310
151bbc43
hex14b16a

1356138 has 48 divisors (see below), whose sum is σ = 3444480. Its totient is φ = 377568.

The previous prime is 1356133. The next prime is 1356143. The reversal of 1356138 is 8316531.

It is an interprime number because it is at equal distance from previous prime (1356133) and next prime (1356143).

It is a super-2 number, since 2×13561382 = 3678220550088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1356133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5808 + ... + 6036.

It is an arithmetic number, because the mean of its divisors is an integer number (71760).

21356138 is an apocalyptic number.

1356138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722240).

1356138 is an abundant number, since it is smaller than the sum of its proper divisors (2088342).

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

1356138 is a wasteful number, since it uses less digits than its factorization.

1356138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 288 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1356138 is about 1164.5333829479. The cubic root of 1356138 is about 110.6881923741.

The spelling of 1356138 in words is "one million, three hundred fifty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 229 282 329 423 458 658 687 846 987 1374 1603 1974 2061 2961 3206 4122 4809 5922 9618 10763 14427 21526 28854 32289 64578 75341 96867 150682 193734 226023 452046 678069 1356138