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27420240 = 2435432657
BaseRepresentation
bin110100010011…
…0011001010000
31220121002111110
41220212121100
524004421430
62415413320
7452032251
oct150463120
956532443
1027420240
1114529261
129224240
1358b09c3
1438dab28
1526197b0
hex1a26650

27420240 has 80 divisors (see below), whose sum is σ = 87012288. Its totient is φ = 7139328.

The previous prime is 27420229. The next prime is 27420299. The reversal of 27420240 is 4202472.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8992 + ... + 11648.

Almost surely, 227420240 is an apocalyptic number.

27420240 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 27420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43506144).

27420240 is an abundant number, since it is smaller than the sum of its proper divisors (59592048).

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

27420240 is a wasteful number, since it uses less digits than its factorization.

27420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 27420240 is about 5236.4339010437. The cubic root of 27420240 is about 301.5484384881.

The spelling of 27420240 in words is "twenty-seven million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 2657 3440 5160 5314 7971 10320 10628 13285 15942 21256 26570 31884 39855 42512 53140 63768 79710 106280 114251 127536 159420 212560 228502 318840 342753 457004 571255 637680 685506 914008 1142510 1371012 1713765 1828016 2285020 2742024 3427530 4570040 5484048 6855060 9140080 13710120 27420240