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2027021120 = 265291131933
BaseRepresentation
bin111100011010001…
…1110001101000000
312020021012100020022
41320310132031000
513122404133440
6533050033012
7101142252365
oct17064361500
95207170208
102027021120
11950222a73
12486a18768
13263c484a7
141532d046c
15bce4dcb5
hex78d1e340

2027021120 has 112 divisors (see below), whose sum is σ = 5040081360. Its totient is φ = 775520256.

The previous prime is 2027021111. The next prime is 2027021141. The reversal of 2027021120 is 211207202.

It can be written as a sum of positive squares in 8 ways, for example, as 168376576 + 1858644544 = 12976^2 + 43112^2 .

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, 1047674 + ... + 1049606.

Almost surely, 22027021120 is an apocalyptic number.

2027021120 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 2027021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520040680).

2027021120 is an abundant number, since it is smaller than the sum of its proper divisors (3013060240).

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

2027021120 is a wasteful number, since it uses less digits than its factorization.

2027021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2027021120 is about 45022.4512882184. The cubic root of 2027021120 is about 1265.5697662996.

Adding to 2027021120 its reverse (211207202), we get a palindrome (2238228322).

The spelling of 2027021120 in words is "two billion, twenty-seven million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 113 116 145 160 226 232 290 320 452 464 565 580 904 928 1130 1160 1808 1856 1933 2260 2320 3277 3616 3866 4520 4640 6554 7232 7732 9040 9280 9665 13108 15464 16385 18080 19330 26216 30928 32770 36160 38660 52432 56057 61856 65540 77320 104864 112114 123712 131080 154640 209728 218429 224228 262160 280285 309280 436858 448456 524320 560570 618560 873716 896912 1048640 1092145 1121140 1747432 1793824 2184290 2242280 3494864 3587648 4368580 4484560 6334441 6989728 8737160 8969120 12668882 13979456 17474320 17938240 25337764 31672205 34948640 50675528 63344410 69897280 101351056 126688820 202702112 253377640 405404224 506755280 1013510560 2027021120