Search a number
-
+
27000454860 = 22325239117159
BaseRepresentation
bin11001001001010110…
…100011111011001100
32120200201010012222200
4121021112203323030
5420244104023420
620223121241500
71644045036201
oct311126437314
976621105880
1027000454860
11104a6064405
125296493290
132713b0c912
141441d1dca8
15a80624b90
hex6495a3ecc

27000454860 has 144 divisors (see below), whose sum is σ = 85568071680. Its totient is φ = 6878551680.

The previous prime is 27000454853. The next prime is 27000454891. The reversal of 27000454860 is 6845400072.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3767961 + ... + 3775119.

It is an arithmetic number, because the mean of its divisors is an integer number (594222720).

Almost surely, 227000454860 is an apocalyptic number.

27000454860 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 27000454860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42784035840).

27000454860 is an abundant number, since it is smaller than the sum of its proper divisors (58567616820).

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

27000454860 is a wasteful number, since it uses less digits than its factorization.

27000454860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8108 (or 8103 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 27000454860 in words is "twenty-seven billion, four hundred fifty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 911 1035 1380 1822 2070 2733 3644 4140 4555 5466 7159 8199 9110 10932 13665 14318 16398 18220 20953 21477 27330 28636 32796 35795 40995 41906 42954 54660 62859 64431 71590 81990 83812 85908 104765 107385 125718 128862 143180 163980 164657 188577 209530 214770 251436 257724 314295 322155 329314 377154 419060 429540 493971 628590 644310 658628 754308 823285 942885 987942 1257180 1288620 1481913 1646570 1885770 1975884 2469855 2963826 3293140 3771540 4939710 5927652 6521849 7409565 9879420 13043698 14819130 19565547 26087396 29638260 32609245 39131094 58696641 65218490 78262188 97827735 117393282 130436980 150002527 195655470 234786564 293483205 300005054 391310940 450007581 586966410 600010108 750012635 900015162 1173932820 1350022743 1500025270 1800030324 2250037905 2700045486 3000050540 4500075810 5400090972 6750113715 9000151620 13500227430 27000454860