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2055240 = 2333511173
BaseRepresentation
bin111110101110001001000
310212102021000
413311301020
51011231430
6112015000
723316645
oct7656110
93772230
102055240
111184150
12831460
1356c625
143b6dcc
152a8e60
hex1f5c48

2055240 has 128 divisors (see below), whose sum is σ = 7516800. Its totient is φ = 495360.

The previous prime is 2055233. The next prime is 2055247. The reversal of 2055240 is 425502.

It is an interprime number because it is at equal distance from previous prime (2055233) and next prime (2055247).

It is a super-2 number, since 2×20552402 = 8448022915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055247) 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 31 ways as a sum of consecutive naturals, for example, 11794 + ... + 11966.

It is an arithmetic number, because the mean of its divisors is an integer number (58725).

22055240 is an apocalyptic number.

2055240 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 2055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758400).

2055240 is an abundant number, since it is smaller than the sum of its proper divisors (5461560).

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

2055240 is a wasteful number, since it uses less digits than its factorization.

2055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2055240 is about 1433.6108258520. The cubic root of 2055240 is about 127.1415537828.

It can be divided in two parts, 205 and 5240, that added together give a palindrome (5445).

The spelling of 2055240 in words is "two million, fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 173 180 198 216 220 264 270 297 330 346 360 396 440 495 519 540 594 660 692 792 865 990 1038 1080 1188 1320 1384 1485 1557 1730 1903 1980 2076 2376 2595 2970 3114 3460 3806 3960 4152 4671 5190 5709 5940 6228 6920 7612 7785 9342 9515 10380 11418 11880 12456 15224 15570 17127 18684 19030 20760 22836 23355 28545 31140 34254 37368 38060 45672 46710 51381 57090 62280 68508 76120 85635 93420 102762 114180 137016 171270 186840 205524 228360 256905 342540 411048 513810 685080 1027620 2055240