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1355088 = 243737109
BaseRepresentation
bin101001010110101010000
32112211211110
411022311100
5321330323
645013320
714342460
oct5126520
92484743
101355088
11846109
12554240
13385a37
14273ba0
151bb793
hex14ad50

1355088 has 80 divisors (see below), whose sum is σ = 4146560. Its totient is φ = 373248.

The previous prime is 1355071. The next prime is 1355089. The reversal of 1355088 is 8805531.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355089) 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, 12378 + ... + 12486.

It is an arithmetic number, because the mean of its divisors is an integer number (51832).

21355088 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 1355088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073280).

1355088 is an abundant number, since it is smaller than the sum of its proper divisors (2791472).

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

1355088 is a wasteful number, since it uses less digits than its factorization.

1355088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1355088 is about 1164.0824713052. The cubic root of 1355088 is about 110.6596179443.

The spelling of 1355088 in words is "one million, three hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 109 111 112 148 168 218 222 259 296 327 336 436 444 518 592 654 763 777 872 888 1036 1308 1526 1554 1744 1776 2072 2289 2616 3052 3108 4033 4144 4578 5232 6104 6216 8066 9156 12099 12208 12432 16132 18312 24198 28231 32264 36624 48396 56462 64528 84693 96792 112924 169386 193584 225848 338772 451696 677544 1355088