Search a number
-
+
27454320 = 24325172243
BaseRepresentation
bin110100010111…
…0101101110000
31220122211020200
41220232231300
524012014240
62420235200
7452233515
oct150565560
956584220
1027454320
1114551923
12923bb00
1358c337a
14390930c
152624930
hex1a2eb70

27454320 has 120 divisors (see below), whose sum is σ = 97667856. Its totient is φ = 6887424.

The previous prime is 27454319. The next prime is 27454321. The reversal of 27454320 is 2345472.

It is an interprime number because it is at equal distance from previous prime (27454319) and next prime (27454321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27454321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11119 + ... + 13361.

Almost surely, 227454320 is an apocalyptic number.

27454320 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 27454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48833928).

27454320 is an abundant number, since it is smaller than the sum of its proper divisors (70213536).

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

27454320 is a wasteful number, since it uses less digits than its factorization.

27454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 27454320 is about 5239.6870135534. The cubic root of 27454320 is about 301.6733160254.

Adding to 27454320 its reverse (2345472), we get a palindrome (29799792).

The spelling of 27454320 in words is "twenty-seven million, four hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2243 2448 3060 4080 4486 6120 6729 8972 11215 12240 13458 17944 20187 22430 26916 33645 35888 38131 40374 44860 53832 67290 76262 80748 89720 100935 107664 114393 134580 152524 161496 179440 190655 201870 228786 269160 305048 322992 343179 381310 403740 457572 538320 571965 610096 686358 762620 807480 915144 1143930 1372716 1525240 1614960 1715895 1830288 2287860 2745432 3050480 3431790 4575720 5490864 6863580 9151440 13727160 27454320