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5640000 = 2635447
BaseRepresentation
bin10101100000111101000000
3101121112121220
4111200331000
52420440000
6320515040
765640102
oct25407500
911545556
105640000
113202463
121a7ba80
1312261a2
14a6b572
157661a0
hex560f40

5640000 has 140 divisors (see below), whose sum is σ = 19043904. Its totient is φ = 1472000.

The previous prime is 5639989. The next prime is 5640031. The reversal of 5640000 is 465.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119977 + ... + 120023.

Almost surely, 25640000 is an apocalyptic number.

5640000 is a gapful number since it is divisible by the number (50) 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 5640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521952).

5640000 is an abundant number, since it is smaller than the sum of its proper divisors (13403904).

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

5640000 is an equidigital number, since it uses as much as digits as its factorization.

5640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5640000 is about 2374.8684174076. The cubic root of 5640000 is about 178.0026090599.

Adding to 5640000 its reverse (465), we get a palindrome (5640465).

It can be divided in two parts, 5 and 640000, that multiplied together give a 5-th power (3200000 = 205).

The spelling of 5640000 in words is "five million, six hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 64 75 80 94 96 100 120 125 141 150 160 188 192 200 235 240 250 282 300 320 375 376 400 470 480 500 564 600 625 705 750 752 800 940 960 1000 1128 1175 1200 1250 1410 1500 1504 1600 1875 1880 2000 2256 2350 2400 2500 2820 3000 3008 3525 3750 3760 4000 4512 4700 4800 5000 5640 5875 6000 7050 7500 7520 8000 9024 9400 10000 11280 11750 12000 14100 15000 15040 17625 18800 20000 22560 23500 24000 28200 29375 30000 35250 37600 40000 45120 47000 56400 58750 60000 70500 75200 88125 94000 112800 117500 120000 141000 176250 188000 225600 235000 282000 352500 376000 470000 564000 705000 940000 1128000 1410000 1880000 2820000 5640000