Search a number
-
+
270009936 = 243673307
BaseRepresentation
bin10000000110000…
…000011001010000
3200211001221000000
4100012000121100
51023110304221
642443130000
76456021660
oct2006003120
9624057000
10270009936
11129460509
1276513900
1343c2a4c1
1427c081a0
1518a87e26
hex10180650

270009936 has 140 divisors (see below), whose sum is σ = 896679712. Its totient is φ = 77122368.

The previous prime is 270009911. The next prime is 270009937. The reversal of 270009936 is 639900072.

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 270009936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270009937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 79995 + ... + 83301.

Almost surely, 2270009936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270009936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448339856).

270009936 is an abundant number, since it is smaller than the sum of its proper divisors (626669776).

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

270009936 is an equidigital number, since it uses as much as digits as its factorization.

270009936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 270009936 is about 16431.9790652252. The cubic root of 270009936 is about 646.3383352320.

The spelling of 270009936 in words is "two hundred seventy million, nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3307 3402 3888 4536 5103 5832 6614 6804 9072 9921 10206 11664 13228 13608 19842 20412 23149 26456 27216 29763 39684 40824 46298 52912 59526 69447 79368 81648 89289 92596 119052 138894 158736 178578 185192 208341 238104 267867 277788 357156 370384 416682 476208 535734 555576 625023 714312 803601 833364 1071468 1111152 1250046 1428624 1607202 1666728 1875069 2142936 2410803 2500092 3214404 3333456 3750138 4285872 4821606 5000184 5625207 6428808 7500276 9643212 10000368 11250414 12857616 15000552 16875621 19286424 22500828 30001104 33751242 38572848 45001656 67502484 90003312 135004968 270009936