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5766240080 = 2451918120959
BaseRepresentation
bin1010101111011000…
…11101011101010000
3112212212012100100102
411113230131131100
543302124140310
62352102311532
7262615142366
oct52754353520
915785170312
105766240080
11249998a577
12114b1285a8
1370b8212a3
143c9b5d636
1523b3608a5
hex157b1d750

5766240080 has 80 divisors (see below), whose sum is σ = 14190758400. Its totient is φ = 2172925440.

The previous prime is 5766240037. The next prime is 5766240083. The reversal of 5766240080 is 800426675.

It is a happy number.

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 (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5766240083) 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, 264641 + ... + 285599.

It is an arithmetic number, because the mean of its divisors is an integer number (177384480).

Almost surely, 25766240080 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 5766240080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095379200).

5766240080 is an abundant number, since it is smaller than the sum of its proper divisors (8424518320).

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

5766240080 is a wasteful number, since it uses less digits than its factorization.

5766240080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21172 (or 21166 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 5766240080 is about 75935.7628525585. The cubic root of 5766240080 is about 1793.2089873230.

The spelling of 5766240080 in words is "five billion, seven hundred sixty-six million, two hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 181 190 304 362 380 724 760 905 1448 1520 1810 2896 3439 3620 6878 7240 13756 14480 17195 20959 27512 34390 41918 55024 68780 83836 104795 137560 167672 209590 275120 335344 398221 419180 796442 838360 1592884 1676720 1991105 3185768 3793579 3982210 6371536 7587158 7964420 15174316 15928840 18967895 30348632 31857680 37935790 60697264 72078001 75871580 144156002 151743160 288312004 303486320 360390005 576624008 720780010 1153248016 1441560020 2883120040 5766240080