Search a number
-
+
2540274920 = 2351971179263
BaseRepresentation
bin1001011101101001…
…1000010011101000
320120000222100002022
42113122120103220
520200302244140
61100022524012
7116643660221
oct22732302350
96500870068
102540274920
111093a12167
125aa896608
13316391171
141a1536248
15ed0340b5
hex976984e8

2540274920 has 128 divisors (see below), whose sum is σ = 6158592000. Its totient is φ = 940181760.

The previous prime is 2540274887. The next prime is 2540274959. The reversal of 2540274920 is 294720452.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9658709 + ... + 9658971.

It is an arithmetic number, because the mean of its divisors is an integer number (48114000).

Almost surely, 22540274920 is an apocalyptic number.

2540274920 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 2540274920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079296000).

2540274920 is an abundant number, since it is smaller than the sum of its proper divisors (3618317080).

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

2540274920 is a wasteful number, since it uses less digits than its factorization.

2540274920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2540274920 is about 50401.1400664707. The cubic root of 2540274920 is about 1364.4582141441.

The spelling of 2540274920 in words is "two billion, five hundred forty million, two hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 76 95 142 152 179 190 263 284 355 358 380 526 568 710 716 760 895 1052 1315 1349 1420 1432 1790 2104 2630 2698 2840 3401 3580 4997 5260 5396 6745 6802 7160 9994 10520 10792 12709 13490 13604 17005 18673 19988 24985 25418 26980 27208 34010 37346 39976 47077 49970 50836 53960 63545 68020 74692 93365 94154 99940 101672 127090 136040 149384 186730 188308 199880 235385 241471 254180 354787 373460 376616 470770 482942 508360 709574 746920 894463 941540 965884 1207355 1419148 1773935 1788926 1883080 1931768 2414710 2838296 3342467 3547870 3577852 4472315 4829420 6684934 7095740 7155704 8944630 9658840 13369868 14191480 16712335 17889260 26739736 33424670 35778520 63506873 66849340 127013746 133698680 254027492 317534365 508054984 635068730 1270137460 2540274920