Search a number
-
+
2678095420 = 22571121312161
BaseRepresentation
bin1001111110100000…
…0111111000111100
320220122022100021021
42133220013320330
520441043023140
61121424513524
7123236302240
oct23750077074
96818270237
102678095420
111154795800
12628a7b8a4
13338ab7460
141b5970420
1510a1a9b4a
hex9fa07e3c

2678095420 has 144 divisors (see below), whose sum is σ = 7608936384. Its totient is φ = 770457600.

The previous prime is 2678095369. The next prime is 2678095457. The reversal of 2678095420 is 245908762.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214140 + ... + 226300.

It is an arithmetic number, because the mean of its divisors is an integer number (52839836).

Almost surely, 22678095420 is an apocalyptic number.

2678095420 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 2678095420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804468192).

2678095420 is an abundant number, since it is smaller than the sum of its proper divisors (4930840964).

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

2678095420 is a wasteful number, since it uses less digits than its factorization.

2678095420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212 (or 12199 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2678095420 is about 51750.3180666554. The cubic root of 2678095420 is about 1388.7007890284.

The spelling of 2678095420 in words is "two billion, six hundred seventy-eight million, ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 12161 15730 16940 20020 22022 24322 31460 44044 48644 55055 60805 85127 110110 121610 133771 158093 170254 220220 243220 267542 316186 340508 425635 535084 632372 668855 790465 851270 936397 1106651 1337710 1471481 1580930 1702540 1739023 1872794 2213302 2675420 2942962 3161860 3478046 3745588 4426604 4681985 5533255 5885924 6956092 7357405 8695115 9363970 10300367 11066510 12173161 14714810 17390230 18727940 19129253 20600734 22133020 24346322 29429620 34780460 38258506 41201468 48692644 51501835 60865805 76517012 95646265 103003670 121731610 133904771 191292530 206007340 243463220 267809542 382585060 535619084 669523855 1339047710 2678095420