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27434020 = 22537131283
BaseRepresentation
bin110100010100…
…1110000100100
31220121210101211
41220221300210
524010342040
62420001204
7452120365
oct150516044
956553354
1027434020
1114538649
129230204
1358b7063
143901b6c
15261d8ea
hex1a29c24

27434020 has 48 divisors (see below), whose sum is σ = 59830848. Its totient is φ = 10558080.

The previous prime is 27434003. The next prime is 27434047. The reversal of 27434020 is 2043472.

It is a junction number, because it is equal to n+sod(n) for n = 27433982 and 27434000.

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, 96799 + ... + 97081.

It is an arithmetic number, because the mean of its divisors is an integer number (1246476).

Almost surely, 227434020 is an apocalyptic number.

27434020 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 27434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29915424).

27434020 is an abundant number, since it is smaller than the sum of its proper divisors (32396828).

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

27434020 is a wasteful number, since it uses less digits than its factorization.

27434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 27434020 is about 5237.7495167295. The cubic root of 27434020 is about 301.5989442652.

Adding to 27434020 its reverse (2043472), we get a palindrome (29477492).

The spelling of 27434020 in words is "twenty-seven million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 131 148 185 262 283 370 524 566 655 740 1132 1310 1415 2620 2830 4847 5660 9694 10471 19388 20942 24235 37073 41884 48470 52355 74146 96940 104710 148292 185365 209420 370730 741460 1371701 2743402 5486804 6858505 13717010 27434020