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2725602240 = 263515111879
BaseRepresentation
bin1010001001110101…
…0110001111000000
321000221200221101010
42202131112033000
521040223232430
61130243040520
7124354144134
oct24235261700
97027627333
102725602240
111179593339
12640970140
133458ababa
141bbdb93c4
1510e440cb0
hexa27563c0

2725602240 has 112 divisors (see below), whose sum is σ = 8664122880. Its totient is φ = 725959680.

The previous prime is 2725602233. The next prime is 2725602247. The reversal of 2725602240 is 422065272.

It is an interprime number because it is at equal distance from previous prime (2725602233) and next prime (2725602247).

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 = 2725602198 and 2725602207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725602247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1449621 + ... + 1451499.

It is an arithmetic number, because the mean of its divisors is an integer number (77358240).

Almost surely, 22725602240 is an apocalyptic number.

2725602240 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 2725602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332061440).

2725602240 is an abundant number, since it is smaller than the sum of its proper divisors (5938520640).

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

2725602240 is a wasteful number, since it uses less digits than its factorization.

2725602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2725602240 is about 52207.3006388953. The cubic root of 2725602240 is about 1396.8641103506.

The spelling of 2725602240 in words is "two billion, seven hundred twenty-five million, six hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1511 1879 3022 3758 4533 5637 6044 7516 7555 9066 9395 11274 12088 15032 15110 18132 18790 22548 22665 24176 28185 30064 30220 36264 37580 45096 45330 48352 56370 60128 60440 72528 75160 90192 90660 96704 112740 120256 120880 145056 150320 180384 181320 225480 241760 290112 300640 360768 362640 450960 483520 601280 725280 901920 1450560 1803840 2839169 5678338 8517507 11356676 14195845 17035014 22713352 28391690 34070028 42587535 45426704 56783380 68140056 85175070 90853408 113566760 136280112 170350140 181706816 227133520 272560224 340700280 454267040 545120448 681400560 908534080 1362801120 2725602240