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270228240 = 243253112107
BaseRepresentation
bin10000000110110…
…101101100010000
3200211111000110100
4100012311230100
51023134300430
642451532400
76460621302
oct2006655420
9624430410
10270228240
1112959a527
12765ba100
1343ca5989
1427c63972
1518acc960
hex101b5b10

270228240 has 120 divisors (see below), whose sum is σ = 936868608. Its totient is φ = 69730560.

The previous prime is 270228223. The next prime is 270228251. The reversal of 270228240 is 42822072.

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

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 23 ways as a sum of consecutive naturals, for example, 16267 + ... + 28373.

Almost surely, 2270228240 is an apocalyptic number.

270228240 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 270228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468434304).

270228240 is an abundant number, since it is smaller than the sum of its proper divisors (666640368).

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

270228240 is a wasteful number, since it uses less digits than its factorization.

270228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12157 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 270228240 is about 16438.6203800684. The cubic root of 270228240 is about 646.5124772616.

The spelling of 270228240 in words is "two hundred seventy million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 12107 22320 24214 36321 48428 60535 72642 96856 108963 121070 145284 181605 193712 217926 242140 290568 363210 375317 435852 484280 544815 581136 726420 750634 871704 968560 1089630 1125951 1452840 1501268 1743408 1876585 2179260 2251902 2905680 3002536 3377853 3753170 4358520 4503804 5629755 6005072 6755706 7506340 8717040 9007608 11259510 13511412 15012680 16889265 18015216 22519020 27022824 30025360 33778530 45038040 54045648 67557060 90076080 135114120 270228240