Search a number
-
+
11254640340 = 2235973974871
BaseRepresentation
bin10100111101101010…
…00010111011010100
31002001100120222010010
422132311002323110
5141022141442330
65100442000220
7545620602336
oct123665027324
932040528103
1011254640340
114855a50959
1222211a6070
1310a49031c8
1478aa37456
1545d0dd3b0
hex29ed42ed4

11254640340 has 96 divisors (see below), whose sum is σ = 31924617984. Its totient is φ = 2962206720.

The previous prime is 11254640333. The next prime is 11254640413. The reversal of 11254640340 is 4304645211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11254640298 and 11254640307.

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, 2308105 + ... + 2312975.

It is an arithmetic number, because the mean of its divisors is an integer number (332548104).

Almost surely, 211254640340 is an apocalyptic number.

11254640340 is a gapful number since it is divisible by the number (10) 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 11254640340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15962308992).

11254640340 is an abundant number, since it is smaller than the sum of its proper divisors (20669977644).

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

11254640340 is a wasteful number, since it uses less digits than its factorization.

11254640340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 11254640340 in words is "eleven billion, two hundred fifty-four million, six hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 397 485 582 794 970 1164 1191 1455 1588 1940 1985 2382 2910 3970 4764 4871 5820 5955 7940 9742 11910 14613 19484 23820 24355 29226 38509 48710 58452 73065 77018 97420 115527 146130 154036 192545 231054 292260 385090 462108 472487 577635 770180 944974 1155270 1417461 1889948 1933787 2310540 2362435 2834922 3867574 4724870 5669844 5801361 7087305 7735148 9449740 9668935 11602722 14174610 19337870 23205444 28349220 29006805 38675740 58013610 116027220 187577339 375154678 562732017 750309356 937886695 1125464034 1875773390 2250928068 2813660085 3751546780 5627320170 11254640340