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1355016 = 2331343101
BaseRepresentation
bin101001010110100001000
32112211201210
411022310020
5321330031
645013120
714342325
oct5126410
92484653
101355016
11846053
125541a0
133859b0
14273b4c
151bb746
hex14ad08

1355016 has 64 divisors (see below), whose sum is σ = 3769920. Its totient is φ = 403200.

The previous prime is 1354987. The next prime is 1355021. The reversal of 1355016 is 6105531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1354983 and 1355001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13366 + ... + 13466.

It is an arithmetic number, because the mean of its divisors is an integer number (58905).

21355016 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 1355016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884960).

1355016 is an abundant number, since it is smaller than the sum of its proper divisors (2414904).

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

1355016 is a wasteful number, since it uses less digits than its factorization.

1355016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1355016 is about 1164.0515452505. The cubic root of 1355016 is about 110.6576580141.

It can be divided in two parts, 135 and 5016, that added together give a triangular number (5151 = T101).

The spelling of 1355016 in words is "one million, three hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 101 104 129 156 172 202 258 303 312 344 404 516 559 606 808 1032 1118 1212 1313 1677 2236 2424 2626 3354 3939 4343 4472 5252 6708 7878 8686 10504 13029 13416 15756 17372 26058 31512 34744 52116 56459 104232 112918 169377 225836 338754 451672 677508 1355016