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2720966274 = 2321328141381
BaseRepresentation
bin1010001000101110…
…1010011010000010
321000121222102000200
42202023222122002
521033031410044
61125555430030
7124266555165
oct24213523202
97017872020
102720966274
111176a07264
1263b2b5316
13344947920
141bb52dadc
1510dd27369
hexa22ea682

2720966274 has 48 divisors (see below), whose sum is σ = 6371669304. Its totient is φ = 834220800.

The previous prime is 2720966251. The next prime is 2720966329. The reversal of 2720966274 is 4726690272.

It can be written as a sum of positive squares in 4 ways, for example, as 2191644225 + 529322049 = 46815^2 + 23007^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45064 + ... + 86444.

Almost surely, 22720966274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720966274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185834652).

2720966274 is an abundant number, since it is smaller than the sum of its proper divisors (3650703030).

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

2720966274 is a wasteful number, since it uses less digits than its factorization.

2720966274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41683 (or 41680 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2720966274 is about 52162.8821481329. The cubic root of 2720966274 is about 1396.0716873694.

The spelling of 2720966274 in words is "two billion, seven hundred twenty million, nine hundred sixty-six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 281 562 843 1686 2529 3653 5058 7306 10959 21918 32877 41381 65754 82762 124143 248286 372429 537953 744858 1075906 1613859 3227718 4841577 9683154 11628061 23256122 34884183 69768366 104652549 151164793 209305098 302329586 453494379 906988758 1360483137 2720966274