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1355480 = 235747103
BaseRepresentation
bin101001010111011011000
32112212100222
411022323120
5321333410
645015212
714343560
oct5127330
92485328
101355480
11846435
12554508
13385c79
14273da0
151bb955
hex14aed8

1355480 has 64 divisors (see below), whose sum is σ = 3594240. Its totient is φ = 450432.

The previous prime is 1355449. The next prime is 1355483. The reversal of 1355480 is 845531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13109 + ... + 13211.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

21355480 is an apocalyptic number.

1355480 is a gapful number since it is divisible by the number (10) 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 1355480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797120).

1355480 is an abundant number, since it is smaller than the sum of its proper divisors (2238760).

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

1355480 is a wasteful number, since it uses less digits than its factorization.

1355480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1355480 is about 1164.2508320804. The cubic root of 1355480 is about 110.6702874575.

The spelling of 1355480 in words is "one million, three hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 103 140 188 206 235 280 329 376 412 470 515 658 721 824 940 1030 1316 1442 1645 1880 2060 2632 2884 3290 3605 4120 4841 5768 6580 7210 9682 13160 14420 19364 24205 28840 33887 38728 48410 67774 96820 135548 169435 193640 271096 338870 677740 1355480