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2027334036 = 2237213337787
BaseRepresentation
bin111100011010110…
…1010100110010100
312020021210020110210
41320311222212110
513122444142121
6533100445420
7101145024600
oct17065524624
95207706423
102027334036
11950417082
12486b49870
13264027a50
14153372500
15bceb1876
hex78d6a994

2027334036 has 144 divisors (see below), whose sum is σ = 5951190336. Its totient is φ = 532417536.

The previous prime is 2027334019. The next prime is 2027334037. The reversal of 2027334036 is 6304337202.

It is a super-2 number, since 2×20273340362 = 8220166587048098592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2027333994 and 2027334012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2027334037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2575635 + ... + 2576421.

Almost surely, 22027334036 is an apocalyptic number.

2027334036 is a gapful number since it is divisible by the number (26) 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 2027334036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975595168).

2027334036 is an abundant number, since it is smaller than the sum of its proper divisors (3923856300).

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

2027334036 is a wasteful number, since it uses less digits than its factorization.

2027334036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 2027334036 is about 45025.9262647644. The cubic root of 2027334036 is about 1265.6348859389.

The spelling of 2027334036 in words is "two billion, twenty-seven million, three hundred thirty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 337 364 546 588 637 674 787 1011 1092 1274 1348 1574 1911 2022 2359 2361 2548 3148 3822 4044 4381 4718 4722 5509 7077 7644 8762 9436 9444 10231 11018 13143 14154 16513 16527 17524 20462 22036 26286 28308 30667 30693 33026 33054 38563 40924 49539 52572 61334 61386 66052 66108 71617 77126 92001 99078 115689 122668 122772 143234 154252 184002 198156 214669 214851 231378 265219 286468 368004 429338 429702 462756 501319 530438 644007 795657 858676 859404 1002638 1060876 1288014 1503957 1591314 1856533 2005276 2576028 3007914 3182628 3447847 3713066 5569599 6015828 6895694 7426132 10343541 11139198 12995731 13791388 20687082 22278396 24134929 25991462 38987193 41374164 48269858 51982924 72404787 77974386 96539716 144809574 155948772 168944503 289619148 337889006 506833509 675778012 1013667018 2027334036