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1661003640 = 2332510214519
BaseRepresentation
bin110001100000000…
…1110011101111000
311021202110201122100
41203000032131320
511400204104030
6432453023400
756106204132
oct14300163570
94252421570
101661003640
1178265868a
123a4324b60
132061747ba
1411a854052
159ac4e360
hex6300e778

1661003640 has 96 divisors (see below), whose sum is σ = 5404744800. Its totient is φ = 442402560.

The previous prime is 1661003629. The next prime is 1661003711. The reversal of 1661003640 is 463001661.

1661003640 is a `hidden beast` number, since 1 + 6 + 6 + 10 + 0 + 3 + 640 = 666.

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, 365301 + ... + 369819.

It is an arithmetic number, because the mean of its divisors is an integer number (56299425).

Almost surely, 21661003640 is an apocalyptic number.

1661003640 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 1661003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702372400).

1661003640 is an abundant number, since it is smaller than the sum of its proper divisors (3743741160).

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

1661003640 is a wasteful number, since it uses less digits than its factorization.

1661003640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5557 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1661003640 is about 40755.4124012995. The cubic root of 1661003640 is about 1184.2867255888.

The spelling of 1661003640 in words is "one billion, six hundred sixty-one million, three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1021 2042 3063 4084 4519 5105 6126 8168 9038 9189 10210 12252 13557 15315 18076 18378 20420 22595 24504 27114 30630 36152 36756 40671 40840 45190 45945 54228 61260 67785 73512 81342 90380 91890 108456 122520 135570 162684 180760 183780 203355 271140 325368 367560 406710 542280 813420 1626840 4613899 9227798 13841697 18455596 23069495 27683394 36911192 41525091 46138990 55366788 69208485 83050182 92277980 110733576 138416970 166100364 184555960 207625455 276833940 332200728 415250910 553667880 830501820 1661003640