Search a number
-
+
270189240 = 23352578761
BaseRepresentation
bin10000000110101…
…100001010111000
3200211102000221220
4100012230022320
51023132023430
642451032040
76460366506
oct2006541270
9624360856
10270189240
111295731a2
127659b620
1343c90cb9
1427c53676
1518ac1110
hex101ac2b8

270189240 has 64 divisors (see below), whose sum is σ = 813814560. Its totient is φ = 71761920.

The previous prime is 270189233. The next prime is 270189263. The reversal of 270189240 is 42981072.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26460 + ... + 35220.

Almost surely, 2270189240 is an apocalyptic number.

270189240 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 270189240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406907280).

270189240 is an abundant number, since it is smaller than the sum of its proper divisors (543625320).

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

270189240 is a wasteful number, since it uses less digits than its factorization.

270189240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 270189240 is about 16437.4341063318. The cubic root of 270189240 is about 646.4813736784.

The spelling of 270189240 in words is "two hundred seventy million, one hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 257 514 771 1028 1285 1542 2056 2570 3084 3855 5140 6168 7710 8761 10280 15420 17522 26283 30840 35044 43805 52566 70088 87610 105132 131415 175220 210264 262830 350440 525660 1051320 2251577 4503154 6754731 9006308 11257885 13509462 18012616 22515770 27018924 33773655 45031540 54037848 67547310 90063080 135094620 270189240