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2725112640 = 26354760397
BaseRepresentation
bin1010001001101101…
…1110101101000000
321000220210001202210
42202123132231000
521040112101030
61130224342120
7124350034545
oct24233365500
97026701683
102725112640
111179289508
12640774940
13345769cb3
141bbcccbcc
1510e395bb0
hexa26deb40

2725112640 has 112 divisors (see below), whose sum is σ = 8836468992. Its totient is φ = 711223296.

The previous prime is 2725112617. The next prime is 2725112669. The reversal of 2725112640 is 462115272.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2725112598 and 2725112607.

It is a congruent number.

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, 14922 + ... + 75318.

Almost surely, 22725112640 is an apocalyptic number.

2725112640 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 2725112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418234496).

2725112640 is an abundant number, since it is smaller than the sum of its proper divisors (6111356352).

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

2725112640 is a wasteful number, since it uses less digits than its factorization.

2725112640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60464 (or 60454 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2725112640 is about 52202.6114289314. The cubic root of 2725112640 is about 1396.7804657634.

The spelling of 2725112640 in words is "two billion, seven hundred twenty-five million, one hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 15040 22560 45120 60397 120794 181191 241588 301985 362382 483176 603970 724764 905955 966352 1207940 1449528 1811910 1932704 2415880 2838659 2899056 3623820 3865408 4831760 5677318 5798112 7247640 8515977 9663520 11354636 11596224 14193295 14495280 17031954 19327040 22709272 28386590 28990560 34063908 42579885 45418544 56773180 57981120 68127816 85159770 90837088 113546360 136255632 170319540 181674176 227092720 272511264 340639080 454185440 545022528 681278160 908370880 1362556320 2725112640