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27247140 = 223251931257
BaseRepresentation
bin110011111110…
…0001000100100
31220021022001100
41213330020210
523433402030
62412000100
7450411504
oct147741044
956238040
1027247140
11144201a8
129160030
13584cc8b
143893a04
1525d3360
hex19fc224

27247140 has 144 divisors (see below), whose sum is σ = 90155520. Its totient is φ = 6635520.

The previous prime is 27247139. The next prime is 27247147. The reversal of 27247140 is 4174272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27247147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105892 + ... + 106148.

It is an arithmetic number, because the mean of its divisors is an integer number (626080).

Almost surely, 227247140 is an apocalyptic number.

27247140 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 27247140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45077760).

27247140 is an abundant number, since it is smaller than the sum of its proper divisors (62908380).

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

27247140 is a wasteful number, since it uses less digits than its factorization.

27247140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 27247140 is about 5219.8793089496. The cubic root of 27247140 is about 300.9125546654.

The spelling of 27247140 in words is "twenty-seven million, two hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 257 279 285 310 342 372 380 465 514 558 570 589 620 684 771 855 930 1028 1116 1140 1178 1285 1395 1542 1710 1767 1860 2313 2356 2570 2790 2945 3084 3420 3534 3855 4626 4883 5140 5301 5580 5890 7068 7710 7967 8835 9252 9766 10602 11565 11780 14649 15420 15934 17670 19532 21204 23130 23901 24415 26505 29298 31868 35340 39835 43947 46260 47802 48830 53010 58596 71703 73245 79670 87894 95604 97660 106020 119505 143406 146490 151373 159340 175788 219735 239010 286812 292980 302746 358515 439470 454119 478020 605492 717030 756865 878940 908238 1362357 1434060 1513730 1816476 2270595 2724714 3027460 4541190 5449428 6811785 9082380 13623570 27247140