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2573640 = 233352383
BaseRepresentation
bin1001110100010101001000
311211202101000
421310111020
51124324030
6131055000
730606216
oct11642510
94752330
102573640
1114a8683
12a41460
136c1584
144adcb6
1535c860
hex274548

2573640 has 64 divisors (see below), whose sum is σ = 8582400. Its totient is φ = 686016.

The previous prime is 2573633. The next prime is 2573653. The reversal of 2573640 is 463752.

It is a happy number.

2573640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 112 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (134100).

22573640 is an apocalyptic number.

2573640 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 2573640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291200).

2573640 is an abundant number, since it is smaller than the sum of its proper divisors (6008760).

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

2573640 is a wasteful number, since it uses less digits than its factorization.

2573640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2573640 is about 1604.2568372926. The cubic root of 2573640 is about 137.0406045839.

The spelling of 2573640 in words is "two million, five hundred seventy-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2383 4766 7149 9532 11915 14298 19064 21447 23830 28596 35745 42894 47660 57192 64341 71490 85788 95320 107235 128682 142980 171576 214470 257364 285960 321705 428940 514728 643410 857880 1286820 2573640