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2701890312 = 2331123130013
BaseRepresentation
bin1010000100001011…
…1001001100001000
320222022002020201120
42201002321030020
521013140442222
61124034515240
7123645455142
oct24102711410
96868066646
102701890312
111167168200
12634a35b20
133409c8c84
141b8ba5c92
1510c30a15c
hexa10b9308

2701890312 has 96 divisors (see below), whose sum is σ = 7664375040. Its totient is φ = 792316800.

The previous prime is 2701890311. The next prime is 2701890313. The reversal of 2701890312 is 2130981072.

It is an interprime number because it is at equal distance from previous prime (2701890311) and next prime (2701890313).

It is a super-2 number, since 2×27018903122 = 14600422516158914688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2701890311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75018 + ... + 105030.

It is an arithmetic number, because the mean of its divisors is an integer number (79837240).

Almost surely, 22701890312 is an apocalyptic number.

2701890312 is a gapful number since it is divisible by the number (22) 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 2701890312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832187520).

2701890312 is an abundant number, since it is smaller than the sum of its proper divisors (4962484728).

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

2701890312 is a wasteful number, since it uses less digits than its factorization.

2701890312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30075 (or 30060 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2701890312 is about 51979.7105801870. The cubic root of 2701890312 is about 1392.8015391302.

The spelling of 2701890312 in words is "two billion, seven hundred one million, eight hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 121 124 132 186 242 248 264 341 363 372 484 682 726 744 968 1023 1364 1452 2046 2728 2904 3751 4092 7502 8184 11253 15004 22506 30008 30013 45012 60026 90024 90039 120052 180078 240104 330143 360156 660286 720312 930403 990429 1320572 1860806 1980858 2641144 2791209 3631573 3721612 3961716 5582418 7263146 7443224 7923432 10234433 10894719 11164836 14526292 20468866 21789438 22329672 29052584 30703299 40937732 43578876 61406598 81875464 87157752 112578763 122813196 225157526 245626392 337736289 450315052 675472578 900630104 1350945156 2701890312