Search a number
-
+
2676737420 = 2257473311229
BaseRepresentation
bin1001111110001011…
…1100010110001100
320220112202100102222
42133202330112030
520440221044140
61121335434512
7123221615120
oct23742742614
96815670388
102676737420
111153a48495
12628525a38
133387302c6
141b56d9580
15109edc5b5
hex9f8bc58c

2676737420 has 96 divisors (see below), whose sum is σ = 6586030080. Its totient is φ = 894769920.

The previous prime is 2676737411. The next prime is 2676737449. The reversal of 2676737420 is 247376762.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2177366 + ... + 2178594.

It is an arithmetic number, because the mean of its divisors is an integer number (68604480).

Almost surely, 22676737420 is an apocalyptic number.

2676737420 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 2676737420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293015040).

2676737420 is an abundant number, since it is smaller than the sum of its proper divisors (3909292660).

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

2676737420 is a wasteful number, since it uses less digits than its factorization.

2676737420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 44.

The square root of 2676737420 is about 51737.1957106297. The cubic root of 2676737420 is about 1388.4660233680.

The spelling of 2676737420 in words is "two billion, six hundred seventy-six million, seven hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 331 470 658 662 940 1229 1316 1324 1645 1655 2317 2458 3290 3310 4634 4916 6145 6580 6620 8603 9268 11585 12290 15557 17206 23170 24580 31114 34412 43015 46340 57763 62228 77785 86030 108899 115526 155570 172060 217798 231052 288815 311140 404341 406799 435596 544495 577630 808682 813598 1088990 1155260 1617364 1627196 2021705 2033995 2177980 2847593 4043410 4067990 5695186 8086820 8135980 11390372 14237965 19119553 28475930 38239106 56951860 76478212 95597765 133836871 191195530 267673742 382391060 535347484 669184355 1338368710 2676737420