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2676016080 = 2432523915551
BaseRepresentation
bin1001111110000000…
…1100001111010000
320220111101200221200
42133200030033100
520440030003310
61121312151200
7123212522103
oct23740141720
96814350850
102676016080
1111535a5541
12628238500
13338539b8a
141b558c73a
15109de89c0
hex9f80c3d0

2676016080 has 120 divisors (see below), whose sum is σ = 9025136640. Its totient is φ = 710572800.

The previous prime is 2676016067. The next prime is 2676016127. The reversal of 2676016080 is 806106762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×26760160802 = 14322124120837132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 164305 + ... + 179855.

It is an arithmetic number, because the mean of its divisors is an integer number (75209472).

Almost surely, 22676016080 is an apocalyptic number.

2676016080 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 2676016080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512568320).

2676016080 is an abundant number, since it is smaller than the sum of its proper divisors (6349120560).

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

2676016080 is a wasteful number, since it uses less digits than its factorization.

2676016080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15809 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2676016080 is about 51730.2240474560. The cubic root of 2676016080 is about 1388.3412886748.

The spelling of 2676016080 in words is "two billion, six hundred seventy-six million, sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 239 240 360 478 717 720 956 1195 1434 1912 2151 2390 2868 3585 3824 4302 4780 5736 7170 8604 9560 10755 11472 14340 15551 17208 19120 21510 28680 31102 34416 43020 46653 57360 62204 77755 86040 93306 124408 139959 155510 172080 186612 233265 248816 279918 311020 373224 466530 559836 622040 699795 746448 933060 1119672 1244080 1399590 1866120 2239344 2799180 3716689 3732240 5598360 7433378 11150067 11196720 14866756 18583445 22300134 29733512 33450201 37166890 44600268 55750335 59467024 66900402 74333780 89200536 111500670 133800804 148667560 167251005 178401072 223001340 267601608 297335120 334502010 446002680 535203216 669004020 892005360 1338008040 2676016080