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27056720 = 2454173113
BaseRepresentation
bin110011100110…
…1101001010000
31212220121211202
41213031221100
523411303340
62403530332
7445656365
oct147155120
955817752
1027056720
1114300129
1290899a8
1357b43c2
14384446c
152596c15
hex19cda50

27056720 has 80 divisors (see below), whose sum is σ = 65902032. Its totient is φ = 10321920.

The previous prime is 27056699. The next prime is 27056723. The reversal of 27056720 is 2765072.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9784384 + 17272336 = 3128^2 + 4156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27056723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239384 + ... + 239496.

Almost surely, 227056720 is an apocalyptic number.

27056720 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 27056720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32951016).

27056720 is an abundant number, since it is smaller than the sum of its proper divisors (38845312).

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

27056720 is a wasteful number, since it uses less digits than its factorization.

27056720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 27056720 is about 5201.6074438581. The cubic root of 27056720 is about 300.2099271418.

The spelling of 27056720 in words is "twenty-seven million, fifty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 73 80 82 113 146 164 205 226 292 328 365 410 452 565 584 656 730 820 904 1130 1168 1460 1640 1808 2260 2920 2993 3280 4520 4633 5840 5986 8249 9040 9266 11972 14965 16498 18532 23165 23944 29930 32996 37064 41245 46330 47888 59860 65992 74128 82490 92660 119720 131984 164980 185320 239440 329960 338209 370640 659920 676418 1352836 1691045 2705672 3382090 5411344 6764180 13528360 27056720