Search a number
-
+
27058680420 = 22355357714747
BaseRepresentation
bin11001001100110100…
…101011001001100100
32120211202200101102220
4121030310223021210
5420404010233140
620233001232340
71645352663052
oct311464531144
976752611386
1027058680420
1110525a13102
1252b1a926b0
132722bb8005
1414499591d2
15a857c6bd0
hex64cd2b264

27058680420 has 96 divisors (see below), whose sum is σ = 77332848768. Its totient is φ = 7066755072.

The previous prime is 27058680379. The next prime is 27058680421. The reversal of 27058680420 is 2408685072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27058680421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827487 + ... + 1842233.

It is an arithmetic number, because the mean of its divisors is an integer number (805550508).

Almost surely, 227058680420 is an apocalyptic number.

27058680420 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 27058680420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38666424384).

27058680420 is an abundant number, since it is smaller than the sum of its proper divisors (50274168348).

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

27058680420 is a wasteful number, since it uses less digits than its factorization.

27058680420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389 (or 15387 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 27058680420 in words is "twenty-seven billion, fifty-eight million, six hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 577 636 795 1060 1154 1590 1731 2308 2885 3180 3462 5770 6924 8655 11540 14747 17310 29494 30581 34620 44241 58988 61162 73735 88482 91743 122324 147470 152905 176964 183486 221205 294940 305810 366972 442410 458715 611620 781591 884820 917430 1563182 1834860 2344773 3126364 3907955 4689546 7815910 8509019 9379092 11723865 15631820 17018038 23447730 25527057 34036076 42545095 46895460 51054114 85090190 102108228 127635285 170180380 255270570 450978007 510541140 901956014 1352934021 1803912028 2254890035 2705868042 4509780070 5411736084 6764670105 9019560140 13529340210 27058680420