Search a number
-
+
270192420 = 2232529191271
BaseRepresentation
bin10000000110101…
…100111100100100
3200211102012022200
4100012230330210
51023132124140
642451054500
76460412001
oct2006547444
9624365280
10270192420
11129575623
12765a1430
1343c92594
1427c548a8
1518ac2030
hex101acf24

270192420 has 144 divisors (see below), whose sum is σ = 855429120. Its totient is φ = 68947200.

The previous prime is 270192413. The next prime is 270192443. The reversal of 270192420 is 24291072.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996885 + ... + 997155.

It is an arithmetic number, because the mean of its divisors is an integer number (5940480).

Almost surely, 2270192420 is an apocalyptic number.

270192420 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 270192420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

270192420 is an abundant number, since it is smaller than the sum of its proper divisors (585236700).

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

270192420 is a wasteful number, since it uses less digits than its factorization.

270192420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 270192420 is about 16437.5308364730. The cubic root of 270192420 is about 646.4839099288.

The spelling of 270192420 in words is "two hundred seventy million, one hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 191 261 271 290 348 382 435 522 542 573 580 764 813 870 955 1044 1084 1146 1305 1355 1626 1719 1740 1910 2292 2439 2610 2710 2865 3252 3438 3820 4065 4878 5220 5420 5539 5730 6876 7859 8130 8595 9756 11078 11460 12195 15718 16260 16617 17190 22156 23577 24390 27695 31436 33234 34380 39295 47154 48780 49851 51761 55390 66468 70731 78590 83085 94308 99702 103522 110780 117885 141462 155283 157180 166170 199404 207044 235770 249255 258805 282924 310566 332340 353655 465849 471540 498510 517610 621132 707310 776415 931698 997020 1035220 1414620 1501069 1552830 1863396 2329245 3002138 3105660 4503207 4658490 6004276 7505345 9006414 9316980 13509621 15010690 18012828 22516035 27019242 30021380 45032070 54038484 67548105 90064140 135096210 270192420