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270529380 = 2232511212421
BaseRepresentation
bin10000000111111…
…111001101100100
3200212001022112200
4100013333031210
51023223420010
642502214500
76463314252
oct2007771544
9625038480
10270529380
11129785800
1276724430
134407ca74
1427d015d2
1518b3bcc0
hex101ff364

270529380 has 108 divisors (see below), whose sum is σ = 902060796. Its totient is φ = 65577600.

The previous prime is 270529373. The next prime is 270529393. The reversal of 270529380 is 83925072.

It is a happy number.

270529380 is a `hidden beast` number, since 270 + 5 + 2 + 9 + 380 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 195776064 + 74753316 = 13992^2 + 8646^2 .

It is a super-2 number, since 2×2705293802 = 146372290886368800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15570 + ... + 27990.

Almost surely, 2270529380 is an apocalyptic number.

270529380 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 270529380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451030398).

270529380 is an abundant number, since it is smaller than the sum of its proper divisors (631531416).

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

270529380 is a wasteful number, since it uses less digits than its factorization.

270529380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12458 (or 12442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 270529380 is about 16447.7773574426. Note that the first 3 decimals coincide. The cubic root of 270529380 is about 646.7525440679.

The spelling of 270529380 in words is "two hundred seventy million, five hundred twenty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 12421 21780 24842 37263 49684 62105 74526 111789 124210 136631 149052 186315 223578 248420 273262 372630 409893 447156 546524 558945 683155 745260 819786 1117890 1229679 1366310 1502941 1639572 2049465 2235780 2459358 2732620 3005882 4098930 4508823 4918716 6011764 6148395 7514705 8197860 9017646 12296790 13526469 15029410 18035292 22544115 24593580 27052938 30058820 45088230 54105876 67632345 90176460 135264690 270529380