Search a number
-
+
1356048 = 24334373
BaseRepresentation
bin101001011000100010000
32112220011000
411023010100
5321343143
645022000
714345331
oct5130420
92486130
101356048
11846901
12554900
133862c5
14274288
151bbbd3
hex14b110

1356048 has 80 divisors (see below), whose sum is σ = 4037440. Its totient is φ = 435456.

The previous prime is 1356037. The next prime is 1356053. The reversal of 1356048 is 8406531.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18540 + ... + 18612.

It is an arithmetic number, because the mean of its divisors is an integer number (50468).

21356048 is an apocalyptic number.

1356048 is a gapful number since it is divisible by the number (18) 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 1356048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018720).

1356048 is an abundant number, since it is smaller than the sum of its proper divisors (2681392).

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

1356048 is a wasteful number, since it uses less digits than its factorization.

1356048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1356048 is about 1164.4947402200. The cubic root of 1356048 is about 110.6857437153.

The spelling of 1356048 in words is "one million, three hundred fifty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 73 86 108 129 144 146 172 216 219 258 292 344 387 432 438 516 584 657 688 774 876 1032 1161 1168 1314 1548 1752 1971 2064 2322 2628 3096 3139 3504 3942 4644 5256 6192 6278 7884 9288 9417 10512 12556 15768 18576 18834 25112 28251 31536 37668 50224 56502 75336 84753 113004 150672 169506 226008 339012 452016 678024 1356048