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1661282040 = 2335114492803
BaseRepresentation
bin110001100000101…
…0010011011111000
311021202222212112110
41203001102123320
511400242011130
6432503012320
756111443605
oct14301223370
94252885473
101661282040
11782828870
123a443a0a0
13206241432
1411a8c76ac
159aca6ab0
hex630526f8

1661282040 has 128 divisors (see below), whose sum is σ = 5450976000. Its totient is φ = 401694720.

The previous prime is 1661282017. The next prime is 1661282053. The reversal of 1661282040 is 402821661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1661281989 and 1661282007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591279 + ... + 594081.

It is an arithmetic number, because the mean of its divisors is an integer number (42585750).

Almost surely, 21661282040 is an apocalyptic number.

1661282040 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 1661282040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725488000).

1661282040 is an abundant number, since it is smaller than the sum of its proper divisors (3789693960).

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

1661282040 is a wasteful number, since it uses less digits than its factorization.

1661282040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1661282040 is about 40758.8277554691. The cubic root of 1661282040 is about 1184.3528877969.

The spelling of 1661282040 in words is "one billion, six hundred sixty-one million, two hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 449 660 898 1320 1347 1796 2245 2694 2803 3592 4490 4939 5388 5606 6735 8409 8980 9878 10776 11212 13470 14015 14817 16818 17960 19756 22424 24695 26940 28030 29634 30833 33636 39512 42045 49390 53880 56060 59268 61666 67272 74085 84090 92499 98780 112120 118536 123332 148170 154165 168180 184998 197560 246664 296340 308330 336360 369996 462495 592680 616660 739992 924990 1233320 1258547 1849980 2517094 3699960 3775641 5034188 6292735 7551282 10068376 12585470 13844017 15102564 18878205 25170940 27688034 30205128 37756410 41532051 50341880 55376068 69220085 75512820 83064102 110752136 138440170 151025640 166128204 207660255 276880340 332256408 415320510 553760680 830641020 1661282040