Search a number
-
+
270942300 = 223352234363
BaseRepresentation
bin10000001001100…
…100000001011100
3200212211021222000
4100021210001130
51023330123200
642515122300
76466654146
oct2011440134
9625737860
10270942300
11129a37a62
12768a3390
13441959b5
1427dabc96
1518bbe300
hex1026405c

270942300 has 144 divisors (see below), whose sum is σ = 909108480. Its totient is φ = 69094080.

The previous prime is 270942289. The next prime is 270942313. The reversal of 270942300 is 3249072.

270942300 is a `hidden beast` number, since 270 + 94 + 2 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 59919 + ... + 64281.

Almost surely, 2270942300 is an apocalyptic number.

270942300 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 270942300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454554240).

270942300 is an abundant number, since it is smaller than the sum of its proper divisors (638166180).

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

270942300 is a wasteful number, since it uses less digits than its factorization.

270942300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 270942300 is about 16460.3250271676. The cubic root of 270942300 is about 647.0814317007.

The spelling of 270942300 in words is "two hundred seventy million, nine hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 27 30 36 45 46 50 54 60 69 75 90 92 100 108 115 135 138 150 180 207 225 230 270 276 300 345 414 450 460 540 575 621 675 690 828 900 1035 1150 1242 1350 1380 1725 2070 2300 2484 2700 3105 3450 4140 4363 5175 6210 6900 8726 10350 12420 13089 15525 17452 20700 21815 26178 31050 39267 43630 52356 62100 65445 78534 87260 100349 109075 117801 130890 157068 196335 200698 218150 235602 261780 301047 327225 392670 401396 436300 471204 501745 589005 602094 654450 785340 903141 981675 1003490 1178010 1204188 1308900 1505235 1806282 1963350 2006980 2356020 2508725 2709423 2945025 3010470 3612564 3926700 4515705 5017450 5418846 5890050 6020940 7526175 9031410 10034900 10837692 11780100 13547115 15052350 18062820 22578525 27094230 30104700 45157050 54188460 67735575 90314100 135471150 270942300