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270820836 = 22321113311697
BaseRepresentation
bin10000001001000…
…110010111100100
3200212121010100100
4100021012113210
51023312231321
642512344100
76465640056
oct2011062744
9625533310
10270820836
11129964780
1276845030
1344152620
1427d798d6
1518b98326
hex102465e4

270820836 has 144 divisors (see below), whose sum is σ = 830688768. Its totient is φ = 73267200.

The previous prime is 270820811. The next prime is 270820841. The reversal of 270820836 is 638028072.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 270820836.

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 47 ways as a sum of consecutive naturals, for example, 158740 + ... + 160436.

It is an arithmetic number, because the mean of its divisors is an integer number (5768672).

Almost surely, 2270820836 is an apocalyptic number.

270820836 is a gapful number since it is divisible by the number (26) 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 270820836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415344384).

270820836 is an abundant number, since it is smaller than the sum of its proper divisors (559867932).

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

270820836 is a wasteful number, since it uses less digits than its factorization.

270820836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 270820836 is about 16456.6350144858. The cubic root of 270820836 is about 646.9847212609.

The spelling of 270820836 in words is "two hundred seventy million, eight hundred twenty thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 78 93 99 117 124 132 143 156 186 198 234 279 286 341 372 396 403 429 468 558 572 682 806 858 1023 1116 1209 1287 1364 1612 1697 1716 2046 2418 2574 3069 3394 3627 4092 4433 4836 5091 5148 6138 6788 7254 8866 10182 12276 13299 14508 15273 17732 18667 20364 22061 26598 30546 37334 39897 44122 52607 53196 56001 61092 66183 74668 79794 88244 105214 112002 132366 157821 159588 168003 198549 210428 224004 242671 264732 315642 336006 397098 473463 485342 578677 631284 672012 683891 728013 794196 946926 970684 1157354 1367782 1456026 1736031 1893852 2051673 2184039 2314708 2735564 2912052 3472062 4103346 4368078 5208093 6155019 6944124 7522801 8206692 8736156 10416186 12310038 15045602 20832372 22568403 24620076 30091204 45136806 67705209 90273612 135410418 270820836