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2555520 = 2735113
BaseRepresentation
bin1001101111111010000000
311210211111220
421233322000
51123234040
6130435040
730502332
oct11577200
94724456
102555520
111496000
12a32a80
136b6256
144a7452
153572d0
hex26fe80

2555520 has 128 divisors (see below), whose sum is σ = 8959680. Its totient is φ = 619520.

The previous prime is 2555477. The next prime is 2555521. The reversal of 2555520 is 255552.

2555520 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232315 + ... + 232325.

22555520 is an apocalyptic number.

2555520 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 2555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479840).

2555520 is an abundant number, since it is smaller than the sum of its proper divisors (6404160).

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

2555520 is an equidigital number, since it uses as much as digits as its factorization.

2555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 2555520 is about 1598.5993869635. The cubic root of 2555520 is about 136.7182302620.

Subtracting from 2555520 its reverse (255552), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 255 and 5520, that added together give a palindrome (5775).

The spelling of 2555520 in words is "two million, five hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 121 128 132 160 165 176 192 220 240 242 264 320 330 352 363 384 440 480 484 528 605 640 660 704 726 880 960 968 1056 1210 1320 1331 1408 1452 1760 1815 1920 1936 2112 2420 2640 2662 2904 3520 3630 3872 3993 4224 4840 5280 5324 5808 6655 7040 7260 7744 7986 9680 10560 10648 11616 13310 14520 15488 15972 19360 19965 21120 21296 23232 26620 29040 31944 38720 39930 42592 46464 53240 58080 63888 77440 79860 85184 106480 116160 127776 159720 170368 212960 232320 255552 319440 425920 511104 638880 851840 1277760 2555520