Search a number
-
+
27402480 = 2432575437
BaseRepresentation
bin110100010001…
…0000011110000
31220120012010200
41220202003300
524003334410
62415155200
7451626420
oct150420360
956505120
1027402480
1114516986
129215b00
1358a58b1
1438d4480
1526143c0
hex1a220f0

27402480 has 120 divisors (see below), whose sum is σ = 105192672. Its totient is φ = 6262272.

The previous prime is 27402467. The next prime is 27402509. The reversal of 27402480 is 8420472.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2322 + ... + 7758.

Almost surely, 227402480 is an apocalyptic number.

27402480 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 27402480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52596336).

27402480 is an abundant number, since it is smaller than the sum of its proper divisors (77790192).

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

27402480 is a wasteful number, since it uses less digits than its factorization.

27402480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27402480 is about 5234.7378157841. The cubic root of 27402480 is about 301.4833204472.

The spelling of 27402480 in words is "twenty-seven million, four hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 5437 10874 16311 21748 27185 32622 38059 43496 48933 54370 65244 76118 81555 86992 97866 108740 114177 130488 152236 163110 190295 195732 217480 228354 244665 260976 304472 326220 342531 380590 391464 434960 456708 489330 570885 608944 652440 685062 761180 782928 913416 978660 1141770 1304880 1370124 1522360 1712655 1826832 1957320 2283540 2740248 3044720 3425310 3914640 4567080 5480496 6850620 9134160 13701240 27402480