Search a number
-
+
2701714392 = 2333131756597
BaseRepresentation
bin1010000100001000…
…1110001111011000
320222021202022102000
42201002032033120
521013114330032
61124031041000
7123644123226
oct24102161730
96867668360
102701714392
111167058013
12634970160
13340966b90
141b8b5bb16
1510c2c2e7c
hexa108e3d8

2701714392 has 128 divisors (see below), whose sum is σ = 8557617600. Its totient is φ = 782383104.

The previous prime is 2701714373. The next prime is 2701714399. The reversal of 2701714392 is 2934171072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2701714399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19438 + ... + 76034.

Almost surely, 22701714392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701714392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278808800).

2701714392 is an abundant number, since it is smaller than the sum of its proper divisors (5855903208).

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

2701714392 is a wasteful number, since it uses less digits than its factorization.

2701714392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56642 (or 56632 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2701714392 is about 51978.0183539157. The cubic root of 2701714392 is about 1392.7713100514.

The spelling of 2701714392 in words is "two billion, seven hundred one million, seven hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2652 2808 3672 3978 5304 5967 7956 11934 15912 23868 47736 56597 113194 169791 226388 339582 452776 509373 679164 735761 962149 1018746 1358328 1471522 1528119 1924298 2037492 2207283 2886447 2943044 3056238 3848596 4074984 4414566 5772894 5886088 6112476 6621849 7697192 8659341 8829132 11545788 12224952 12507937 13243698 17318682 17658264 19865547 23091576 25015874 25978023 26487396 34637364 37523811 39731094 50031748 51956046 52974792 69274728 75047622 79462188 100063496 103912092 112571433 150095244 158924376 207824184 225142866 300190488 337714299 450285732 675428598 900571464 1350857196 2701714392