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5662320240 = 243531375377
BaseRepresentation
bin1010100011000000…
…00010011001110000
3112121121122200010110
411101200002121300
543044023221430
62333511101320
7260213633163
oct52140023160
915547580113
105662320240
112446261005
121120371840
136c3137565
143ba02bada
152321847b0
hex151802670

5662320240 has 80 divisors (see below), whose sum is σ = 17609506848. Its totient is φ = 1505107968.

The previous prime is 5662320239. The next prime is 5662320269. The reversal of 5662320240 is 420232665.

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 = 5662320198 and 5662320207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37432 + ... + 112808.

Almost surely, 25662320240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5662320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8804753424).

5662320240 is an abundant number, since it is smaller than the sum of its proper divisors (11947186608).

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

5662320240 is a wasteful number, since it uses less digits than its factorization.

5662320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75706 (or 75700 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 5662320240 is about 75248.3902817861. The cubic root of 5662320240 is about 1782.3711445782.

The spelling of 5662320240 in words is "five billion, six hundred sixty-two million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 12520 15024 18780 25040 37560 75120 75377 150754 226131 301508 376885 452262 603016 753770 904524 1130655 1206032 1507540 1809048 2261310 3015080 3618096 4522620 6030160 9045240 18090480 23593001 47186002 70779003 94372004 117965005 141558006 188744008 235930010 283116012 353895015 377488016 471860020 566232024 707790030 943720040 1132464048 1415580060 1887440080 2831160120 5662320240