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2040863916 = 2237213313853
BaseRepresentation
bin111100110100101…
…0001110010101100
312021020020121222110
41321221101302230
513134430121131
6534302444020
7101401025400
oct17151216254
95236217873
102040863916
119580182a3
1248b593610
13266a841b0
14155095100
15be285646
hex79a51cac

2040863916 has 144 divisors (see below), whose sum is σ = 5991677664. Its totient is φ = 535901184.

The previous prime is 2040863897. The next prime is 2040863917. The reversal of 2040863916 is 6193680402.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2040863917) 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, 2392146 + ... + 2392998.

Almost surely, 22040863916 is an apocalyptic number.

2040863916 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 2040863916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995838832).

2040863916 is an abundant number, since it is smaller than the sum of its proper divisors (3950813748).

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

2040863916 is a wasteful number, since it uses less digits than its factorization.

2040863916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2040863916 is about 45175.9218610976. The cubic root of 2040863916 is about 1268.4441475992. Note that the first 3 decimals are identical.

The spelling of 2040863916 in words is "two billion, forty million, eight hundred sixty-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 313 364 546 588 626 637 853 939 1092 1252 1274 1706 1878 1911 2191 2548 2559 3412 3756 3822 4069 4382 5118 5971 6573 7644 8138 8764 10236 11089 11942 12207 13146 15337 16276 17913 22178 23884 24414 26292 28483 30674 33267 35826 41797 44356 46011 48828 56966 61348 66534 71652 77623 83594 85449 92022 113932 125391 133068 155246 167188 170898 184044 199381 232869 250782 266989 310492 341796 398762 465738 501564 533978 543361 598143 797524 800967 931476 1067956 1086722 1196286 1601934 1630083 1868923 2173444 2392572 3203868 3260166 3470857 3737846 5606769 6520332 6941714 7475692 10412571 11213538 13082461 13883428 20825142 22427076 24295999 26164922 39247383 41650284 48591998 52329844 72887997 78494766 97183996 145775994 156989532 170071993 291551988 340143986 510215979 680287972 1020431958 2040863916