Search a number
-
+
254300132120 = 23519676138147
BaseRepresentation
bin1110110011010101111…
…0000001001100011000
3220022101121120012102212
43230311132001030120
513131301313211440
6312453542214252
724241536313046
oct3546536011430
9808347505385
10254300132120
1198936882151
1241350724388
131ac98c26578
14c445971396
1569355c7465
hex3b35781318

254300132120 has 128 divisors (see below), whose sum is σ = 612351532800. Its totient is φ = 94761570816.

The previous prime is 254300132113. The next prime is 254300132161. The reversal of 254300132120 is 21231003452.

It is a congruent number.

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, 31209887 + ... + 31218033.

It is an arithmetic number, because the mean of its divisors is an integer number (4783996350).

Almost surely, 2254300132120 is an apocalyptic number.

254300132120 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 254300132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306175766400).

254300132120 is an abundant number, since it is smaller than the sum of its proper divisors (358051400680).

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

254300132120 is a wasteful number, since it uses less digits than its factorization.

254300132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 254300132120 its reverse (21231003452), we get a palindrome (275531135572).

The spelling of 254300132120 in words is "two hundred fifty-four billion, three hundred million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 67 76 95 134 152 190 268 335 380 536 613 670 760 1226 1273 1340 2452 2546 2680 3065 4904 5092 6130 6365 8147 10184 11647 12260 12730 16294 23294 24520 25460 32588 40735 41071 46588 50920 58235 65176 81470 82142 93176 116470 154793 162940 164284 205355 232940 309586 325880 328568 410710 465880 545849 619172 773965 780349 821420 1091698 1238344 1547930 1560698 1642840 2183396 2729245 3095860 3121396 3901745 4366792 4994111 5458490 6191720 6242792 7803490 9988222 10371131 10916980 15606980 19976444 20742262 21833960 24970555 31213960 39952888 41484524 49941110 51855655 82969048 94888109 99882220 103711310 189776218 199764440 207422620 334605437 379552436 414845240 474440545 669210874 759104872 948881090 1338421748 1673027185 1897762180 2676843496 3346054370 3795524360 6357503303 6692108740 12715006606 13384217480 25430013212 31787516515 50860026424 63575033030 127150066060 254300132120