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2760000740 = 2257471014153
BaseRepresentation
bin1010010010000010…
…0100010011100100
321010100102120020122
42210200210103210
521123030010430
61133512221112
7125252422250
oct24440442344
97110376218
102760000740
111196a48452
1265039a798
1334ca63b43
141c27b1260
15112487ee5
hexa48244e4

2760000740 has 96 divisors (see below), whose sum is σ = 6833562624. Its totient is φ = 916761600.

The previous prime is 2760000739. The next prime is 2760000797. The reversal of 2760000740 is 470000672.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 662504 + ... + 666656.

It is an arithmetic number, because the mean of its divisors is an integer number (71182944).

Almost surely, 22760000740 is an apocalyptic number.

2760000740 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 2760000740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416781312).

2760000740 is an abundant number, since it is smaller than the sum of its proper divisors (4073561884).

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

2760000740 is a wasteful number, since it uses less digits than its factorization.

2760000740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4317 (or 4315 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 2760000740 is about 52535.7091890840. The cubic root of 2760000740 is about 1402.7159420634.

The spelling of 2760000740 in words is "two billion, seven hundred sixty million, seven hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 101 140 188 202 235 329 404 470 505 658 707 940 1010 1316 1414 1645 2020 2828 3290 3535 4153 4747 6580 7070 8306 9494 14140 16612 18988 20765 23735 29071 33229 41530 47470 58142 66458 83060 94940 116284 132916 145355 166145 195191 290710 332290 390382 419453 581420 664580 780764 838906 975955 1366337 1677812 1951910 2097265 2732674 2936171 3903820 4194530 5465348 5872342 6831685 8389060 11744684 13663370 14680855 19714291 27326740 29361710 39428582 58723420 78857164 98571455 138000037 197142910 276000074 394285820 552000148 690000185 1380000370 2760000740