Search a number
-
+
270014080 = 275760271
BaseRepresentation
bin10000000110000…
…001011010000000
3200211002010200111
4100012001122000
51023110422310
642443201104
76456040030
oct2006013200
9624063614
10270014080
11129463636
1276516194
1343c2c35b
1427c098c0
1518a8928a
hex10181680

270014080 has 64 divisors (see below), whose sum is σ = 737729280. Its totient is φ = 92574720.

The previous prime is 270014039. The next prime is 270014083. The reversal of 270014080 is 80410072.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (270014083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25656 + ... + 34615.

It is an arithmetic number, because the mean of its divisors is an integer number (11527020).

Almost surely, 2270014080 is an apocalyptic number.

270014080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270014080 is an abundant number, since it is smaller than the sum of its proper divisors (467715200).

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

270014080 is an equidigital number, since it uses as much as digits as its factorization.

270014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60297 (or 60285 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 270014080 is about 16432.1051603256. The cubic root of 270014080 is about 646.3416417922.

The spelling of 270014080 in words is "two hundred seventy million, fourteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 60271 120542 241084 301355 421897 482168 602710 843794 964336 1205420 1687588 1928672 2109485 2410840 3375176 3857344 4218970 4821680 6750352 7714688 8437940 9643360 13500704 16875880 19286720 27001408 33751760 38573440 54002816 67503520 135007040 270014080