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1411920 = 243253753
BaseRepresentation
bin101011000101101010000
32122201210100
411120231100
5330140140
650132400
715000246
oct5305520
92581710
101411920
11884884
12581100
133a5873
1428a796
151cd530
hex158b50

1411920 has 120 divisors (see below), whose sum is σ = 4961736. Its totient is φ = 359424.

The previous prime is 1411903. The next prime is 1411931. The reversal of 1411920 is 291141.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 876096 = 732^2 + 936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 1411893 and 1411902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26614 + ... + 26666.

21411920 is an apocalyptic number.

1411920 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 1411920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480868).

1411920 is an abundant number, since it is smaller than the sum of its proper divisors (3549816).

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

1411920 is a wasteful number, since it uses less digits than its factorization.

1411920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1411920 is about 1188.2423995128. The cubic root of 1411920 is about 112.1854919424.

The spelling of 1411920 in words is "one million, four hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 53 60 72 74 80 90 106 111 120 144 148 159 180 185 212 222 240 265 296 318 333 360 370 424 444 477 530 555 592 636 666 720 740 795 848 888 954 1060 1110 1272 1332 1480 1590 1665 1776 1908 1961 2120 2220 2385 2544 2664 2960 3180 3330 3816 3922 4240 4440 4770 5328 5883 6360 6660 7632 7844 8880 9540 9805 11766 12720 13320 15688 17649 19080 19610 23532 26640 29415 31376 35298 38160 39220 47064 58830 70596 78440 88245 94128 117660 141192 156880 176490 235320 282384 352980 470640 705960 1411920