[go: up one dir, main page]

Search a number
-
+
27039744 = 21134163
BaseRepresentation
bin110011100100…
…1100000000000
31212212202120000
41213021200000
523410232434
62403320000
7445556034
oct147114000
955782500
1027039744
11142993a6
129080000
1357a9764
14383c1c4
152591b99
hex19c9800

27039744 has 120 divisors (see below), whose sum is σ = 81261180. Its totient is φ = 8957952.

The previous prime is 27039731. The next prime is 27039751. The reversal of 27039744 is 44793072.

It is a super-2 number, since 2×270397442 = 1462295511171072, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27039699 and 27039708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165807 + ... + 165969.

Almost surely, 227039744 is an apocalyptic number.

27039744 is a gapful number since it is divisible by the number (24) 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 27039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40630590).

27039744 is an abundant number, since it is smaller than the sum of its proper divisors (54221436).

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

27039744 is an equidigital number, since it uses as much as digits as its factorization.

27039744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 27039744 is about 5199.9753845571. The cubic root of 27039744 is about 300.1471278329.

The spelling of 27039744 in words is "twenty-seven million, thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 163 192 216 256 288 324 326 384 432 489 512 576 648 652 768 864 978 1024 1152 1296 1304 1467 1536 1728 1956 2048 2304 2592 2608 2934 3072 3456 3912 4401 4608 5184 5216 5868 6144 6912 7824 8802 9216 10368 10432 11736 13203 13824 15648 17604 18432 20736 20864 23472 26406 27648 31296 35208 41472 41728 46944 52812 55296 62592 70416 82944 83456 93888 105624 125184 140832 165888 166912 187776 211248 250368 281664 333824 375552 422496 500736 563328 751104 844992 1001472 1126656 1502208 1689984 2253312 3004416 3379968 4506624 6759936 9013248 13519872 27039744