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2555640 = 2332531229
BaseRepresentation
bin1001101111111011111000
311210211200100
421233323320
51123240030
6130435400
730502563
oct11577370
94724610
102555640
1114960aa
12a32b60
136b6319
144a74da
15357360
hex26fef8

2555640 has 96 divisors (see below), whose sum is σ = 8611200. Its totient is φ = 656640.

The previous prime is 2555639. The next prime is 2555647. The reversal of 2555640 is 465552.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11046 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (89700).

22555640 is an apocalyptic number.

2555640 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 2555640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305600).

2555640 is an abundant number, since it is smaller than the sum of its proper divisors (6055560).

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

2555640 is a wasteful number, since it uses less digits than its factorization.

2555640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2555640 is about 1598.6369193785. The cubic root of 2555640 is about 136.7203701958.

The spelling of 2555640 in words is "two million, five hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 229 248 279 310 360 372 458 465 558 620 687 744 916 930 1116 1145 1240 1374 1395 1832 1860 2061 2232 2290 2748 2790 3435 3720 4122 4580 5496 5580 6870 7099 8244 9160 10305 11160 13740 14198 16488 20610 21297 27480 28396 35495 41220 42594 56792 63891 70990 82440 85188 106485 127782 141980 170376 212970 255564 283960 319455 425940 511128 638910 851880 1277820 2555640