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27003340 = 22571337401
BaseRepresentation
bin110011100000…
…0100111001100
31212210220121201
41213000213030
523403101330
62402435244
7445344640
oct147004714
955726551
1027003340
1114274011
129062b24
135796010
14382cc20
152585eca
hex19c09cc

27003340 has 96 divisors (see below), whose sum is σ = 71858304. Its totient is φ = 8294400.

The previous prime is 27003337. The next prime is 27003349. The reversal of 27003340 is 4330072.

It is not an unprimeable number, because it can be changed into a prime (27003349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67140 + ... + 67540.

It is an arithmetic number, because the mean of its divisors is an integer number (748524).

Almost surely, 227003340 is an apocalyptic number.

27003340 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 27003340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35929152).

27003340 is an abundant number, since it is smaller than the sum of its proper divisors (44854964).

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

27003340 is a wasteful number, since it uses less digits than its factorization.

27003340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 27003340 is about 5196.4738044178. The cubic root of 27003340 is about 300.0123698603.

The spelling of 27003340 in words is "twenty-seven million, three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 52 65 70 74 91 130 140 148 182 185 259 260 364 370 401 455 481 518 740 802 910 962 1036 1295 1604 1820 1924 2005 2405 2590 2807 3367 4010 4810 5180 5213 5614 6734 8020 9620 10426 11228 13468 14035 14837 16835 20852 26065 28070 29674 33670 36491 52130 56140 59348 67340 72982 74185 103859 104260 145964 148370 182455 192881 207718 296740 364910 385762 415436 519295 729820 771524 964405 1038590 1350167 1928810 2077180 2700334 3857620 5400668 6750835 13501670 27003340