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2733076000 = 25532923561
BaseRepresentation
bin1010001011100111…
…0110111000100000
321001110202122110001
42202321312320200
521044131413000
61131111145344
7124504522414
oct24271667040
97043678401
102733076000
1111828284a6
12643375254
133472c7845
141bcda2d44
1510ee1a46a
hexa2e76e20

2733076000 has 96 divisors (see below), whose sum is σ = 6947020080. Its totient is φ = 1055488000.

The previous prime is 2733075979. The next prime is 2733076061. The reversal of 2733076000 is 6703372.

It can be written as a sum of positive squares in 8 ways, for example, as 3640464 + 2729435536 = 1908^2 + 52244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2733076000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104220 + ... + 127780.

Almost surely, 22733076000 is an apocalyptic number.

2733076000 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 2733076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473510040).

2733076000 is an abundant number, since it is smaller than the sum of its proper divisors (4213944080).

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

2733076000 is a wasteful number, since it uses less digits than its factorization.

2733076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23615 (or 23597 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 2733076000 is about 52278.8293671540. The cubic root of 2733076000 is about 1398.1397060416.

Adding to 2733076000 its reverse (6703372), we get a palindrome (2739779372).

The spelling of 2733076000 in words is "two billion, seven hundred thirty-three million, seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 23561 29000 47122 58000 94244 116000 117805 188488 235610 376976 471220 589025 683269 753952 942440 1178050 1366538 1884880 2356100 2733076 2945125 3416345 3769760 4712200 5466152 5890250 6832690 9424400 10932304 11780500 13665380 17081725 18848800 21864608 23561000 27330760 34163450 47122000 54661520 68326900 85408625 94244000 109323040 136653800 170817250 273307600 341634500 546615200 683269000 1366538000 2733076000