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5660131440 = 243561386621
BaseRepresentation
bin1010100010101111…
…01100000001110000
3112121110112110122210
411101113230001300
543042443201230
62333352132120
7260156215635
oct52127540160
915543473583
105660131440
112444aa6587
12111b697040
136c284c202
143b9a1c18c
15231da0eb0
hex1515ec070

5660131440 has 80 divisors (see below), whose sum is σ = 17834099616. Its totient is φ = 1484620800.

The previous prime is 5660131397. The next prime is 5660131447. The reversal of 5660131440 is 441310665.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5660131398 and 5660131407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5660131447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178671 + ... + 207950.

Almost surely, 25660131440 is an apocalyptic number.

It is an amenable number.

5660131440 is an abundant number, since it is smaller than the sum of its proper divisors (12173968176).

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

5660131440 is a wasteful number, since it uses less digits than its factorization.

5660131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386698 (or 386692 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5660131440 is about 75233.8450433048. The cubic root of 5660131440 is about 1782.1414532981.

The spelling of 5660131440 in words is "five billion, six hundred sixty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 386621 773242 1159863 1546484 1933105 2319726 3092968 3866210 4639452 5799315 6185936 7732420 9278904 11598630 15464840 18557808 23197260 23583881 30929680 46394520 47167762 70751643 92789040 94335524 117919405 141503286 188671048 235838810 283006572 353758215 377342096 471677620 566013144 707516430 943355240 1132026288 1415032860 1886710480 2830065720 5660131440