Search a number
-
+
270730560 = 2635282011
BaseRepresentation
bin10000001000110…
…000010101000000
3200212102112111210
4100020300111000
51023301334220
642510410120
76465112632
oct2010602500
9625375453
10270730560
11129902971
1276800940
13441204c9
1427d54a52
1518b7b6e0
hex10230540

270730560 has 56 divisors (see below), whose sum is σ = 859572576. Its totient is φ = 72194560.

The previous prime is 270730549. The next prime is 270730571. The reversal of 270730560 is 65037072.

It is an interprime number because it is at equal distance from previous prime (270730549) and next prime (270730571).

It is a super-2 number, since 2×2707305602 = 146590072235827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 140046 + ... + 141965.

Almost surely, 2270730560 is an apocalyptic number.

270730560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270730560 is an abundant number, since it is smaller than the sum of its proper divisors (588842016).

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

270730560 is a wasteful number, since it uses less digits than its factorization.

270730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282031 (or 282021 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 270730560 is about 16453.8919408145. The cubic root of 270730560 is about 646.9128241786.

The spelling of 270730560 in words is "two hundred seventy million, seven hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 282011 564022 846033 1128044 1410055 1692066 2256088 2820110 3384132 4230165 4512176 5640220 6768264 8460330 9024352 11280440 13536528 16920660 18048704 22560880 27073056 33841320 45121760 54146112 67682640 90243520 135365280 270730560