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2553540 = 2235115373
BaseRepresentation
bin1001101111011011000100
311210201210120
421233123010
51123203130
6130421540
730463503
oct11573304
94721716
102553540
111494570
12a318b0
136b5392
144a683a
15356910
hex26f6c4

2553540 has 96 divisors (see below), whose sum is σ = 8055936. Its totient is φ = 599040.

The previous prime is 2553539. The next prime is 2553541. The reversal of 2553540 is 453552.

It is an interprime number because it is at equal distance from previous prime (2553539) and next prime (2553541).

It is a self number, because there is not a number n which added to its sum of digits gives 2553540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34944 + ... + 35016.

It is an arithmetic number, because the mean of its divisors is an integer number (83916).

22553540 is an apocalyptic number.

2553540 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 2553540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027968).

2553540 is an abundant number, since it is smaller than the sum of its proper divisors (5502396).

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

2553540 is a wasteful number, since it uses less digits than its factorization.

2553540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 2553540 is about 1597.9799748432. The cubic root of 2553540 is about 136.6829116786.

The spelling of 2553540 in words is "two million, five hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 73 106 110 132 146 159 165 212 219 220 265 292 318 330 365 438 530 583 636 660 730 795 803 876 1060 1095 1166 1460 1590 1606 1749 2190 2332 2409 2915 3180 3212 3498 3869 4015 4380 4818 5830 6996 7738 8030 8745 9636 11607 11660 12045 15476 16060 17490 19345 23214 24090 34980 38690 42559 46428 48180 58035 77380 85118 116070 127677 170236 212795 232140 255354 425590 510708 638385 851180 1276770 2553540