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2661082140 = 2235733071979
BaseRepresentation
bin1001111010011100…
…1110010000011100
320212110021222102210
42132213032100130
520422214112030
61120020120420
7122641552653
oct23647162034
96773258383
102661082140
111146125442
12623236110
1333540b622
141b35c219a
15108948bb0
hex9e9ce41c

2661082140 has 96 divisors (see below), whose sum is σ = 7581530880. Its totient is φ = 697268736.

The previous prime is 2661082093. The next prime is 2661082157. The reversal of 2661082140 is 412801662.

2661082140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2661082098 and 2661082107.

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, 1343671 + ... + 1345649.

It is an arithmetic number, because the mean of its divisors is an integer number (78974280).

Almost surely, 22661082140 is an apocalyptic number.

2661082140 is a gapful number since it is divisible by the number (20) 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 2661082140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790765440).

2661082140 is an abundant number, since it is smaller than the sum of its proper divisors (4920448740).

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

2661082140 is a wasteful number, since it uses less digits than its factorization.

2661082140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2369 counting only the distinct ones).

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

The square root of 2661082140 is about 51585.6776634755. The cubic root of 2661082140 is about 1385.7538485382.

The spelling of 2661082140 in words is "two billion, six hundred sixty-one million, eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 307 365 438 614 730 876 921 1095 1228 1460 1535 1842 1979 2190 3070 3684 3958 4380 4605 5937 6140 7916 9210 9895 11874 18420 19790 22411 23748 29685 39580 44822 59370 67233 89644 112055 118740 134466 144467 224110 268932 288934 336165 433401 448220 577868 607553 672330 722335 866802 1215106 1344660 1444670 1733604 1822659 2167005 2430212 2889340 3037765 3645318 4334010 6075530 7290636 8668020 9113295 12151060 18226590 36453180 44351369 88702738 133054107 177405476 221756845 266108214 443513690 532216428 665270535 887027380 1330541070 2661082140