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1661040 = 24335769
BaseRepresentation
bin110010101100001110000
310010101112000
412111201300
5411123130
655334000
720055453
oct6254160
93111460
101661040
11a34a67
12681300
13462084
1431349a
1522c260
hex195870

1661040 has 80 divisors (see below), whose sum is σ = 5728800. Its totient is φ = 442368.

The previous prime is 1661029. The next prime is 1661059. The reversal of 1661040 is 401661.

1661040 is a `hidden beast` number, since 1 + 661 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1776 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (71610).

21661040 is an apocalyptic number.

1661040 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 1661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864400).

1661040 is an abundant number, since it is smaller than the sum of its proper divisors (4067760).

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

1661040 is a wasteful number, since it uses less digits than its factorization.

1661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1661040 is about 1288.8134077515. The cubic root of 1661040 is about 118.4295367021.

The spelling of 1661040 in words is "one million, six hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 769 1080 1538 2160 2307 3076 3845 4614 6152 6921 7690 9228 11535 12304 13842 15380 18456 20763 23070 27684 30760 34605 36912 41526 46140 55368 61520 69210 83052 92280 103815 110736 138420 166104 184560 207630 276840 332208 415260 553680 830520 1661040