Search a number
-
+
270848240 = 24513312271
BaseRepresentation
bin10000001001001…
…101000011110000
3200212122111221022
4100021031003300
51023314120430
642513115012
76466113005
oct2011150360
9625574838
10270848240
11129983323
1276858a68
1344161c40
1427d858ac
1518ba14e5
hex1024d0f0

270848240 has 120 divisors (see below), whose sum is σ = 703329984. Its totient is φ = 96422400.

The previous prime is 270848239. The next prime is 270848243. The reversal of 270848240 is 42848072.

It is a super-2 number, since 2×2708482402 = 146717538222195200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 270848240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270848243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999305 + ... + 999575.

Almost surely, 2270848240 is an apocalyptic number.

270848240 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 270848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351664992).

270848240 is an abundant number, since it is smaller than the sum of its proper divisors (432481744).

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

270848240 is a wasteful number, since it uses less digits than its factorization.

270848240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 270848240 is about 16457.4676059229. The cubic root of 270848240 is about 647.0065430325.

The spelling of 270848240 in words is "two hundred seventy million, eight hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 271 310 403 496 520 542 620 806 961 1040 1084 1240 1355 1612 1922 2015 2168 2480 2710 3224 3523 3844 4030 4336 4805 5420 6448 7046 7688 8060 8401 9610 10840 12493 14092 15376 16120 16802 17615 19220 21680 24986 28184 32240 33604 35230 38440 42005 49972 56368 62465 67208 70460 76880 84010 99944 109213 124930 134416 140920 168020 199888 218426 249860 260431 281840 336040 436852 499720 520862 546065 672080 873704 999440 1041724 1092130 1302155 1747408 2083448 2184260 2604310 3385603 4166896 4368520 5208620 6771206 8737040 10417240 13542412 16928015 20834480 27084824 33856030 54169648 67712060 135424120 270848240