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272057340 = 2235231371439
BaseRepresentation
bin10000001101110…
…100001111111100
3200221220221111210
4100031310033330
51024121313330
642555044420
76512310042
oct2015641774
9627827453
10272057340
1112a629785
1277140710
1344496399
14281bc392
1518d3e8b0
hex103743fc

272057340 has 96 divisors (see below), whose sum is σ = 801239040. Its totient is φ = 68839936.

The previous prime is 272057339. The next prime is 272057389. The reversal of 272057340 is 43750272.

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

It is a junction number, because it is equal to n+sod(n) for n = 272057298 and 272057307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188341 + ... + 189779.

It is an arithmetic number, because the mean of its divisors is an integer number (8346240).

Almost surely, 2272057340 is an apocalyptic number.

272057340 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 272057340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400619520).

272057340 is an abundant number, since it is smaller than the sum of its proper divisors (529181700).

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

272057340 is a wasteful number, since it uses less digits than its factorization.

272057340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 272057340 is about 16494.1607849566. The cubic root of 272057340 is about 647.9678863067.

The spelling of 272057340 in words is "two hundred seventy-two million, fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 137 138 230 274 276 345 411 460 548 685 690 822 1370 1380 1439 1644 2055 2740 2878 3151 4110 4317 5756 6302 7195 8220 8634 9453 12604 14390 15755 17268 18906 21585 28780 31510 33097 37812 43170 47265 63020 66194 86340 94530 99291 132388 165485 189060 197143 198582 330970 394286 397164 496455 591429 661940 788572 985715 992910 1182858 1971430 1985820 2365716 2957145 3942860 4534289 5914290 9068578 11828580 13602867 18137156 22671445 27205734 45342890 54411468 68014335 90685780 136028670 272057340