Search a number
-
+
270062080 = 295314183
BaseRepresentation
bin10000000110001…
…101001000000000
3200211011120112021
4100012031020000
51023113441310
642444211224
76456330001
oct2006151000
9624146467
10270062080
11129496702
1276539b14
1343c48162
1427c1d1a8
1518a985da
hex1018d200

270062080 has 160 divisors (see below), whose sum is σ = 692955648. Its totient is φ = 100761600.

The previous prime is 270062077. The next prime is 270062081. The reversal of 270062080 is 80260072.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270062081) 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 15 ways as a sum of consecutive naturals, for example, 3253719 + ... + 3253801.

Almost surely, 2270062080 is an apocalyptic number.

270062080 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 270062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346477824).

270062080 is an abundant number, since it is smaller than the sum of its proper divisors (422893568).

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

270062080 is an equidigital number, since it uses as much as digits as its factorization.

270062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 270062080 is about 16433.5656508258. The cubic root of 270062080 is about 646.3799392526.

The spelling of 270062080 in words is "two hundred seventy million, sixty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 83 124 128 155 160 164 166 205 248 256 310 320 328 332 410 415 496 512 620 640 656 664 820 830 992 1240 1271 1280 1312 1328 1640 1660 1984 2480 2542 2560 2573 2624 2656 3280 3320 3403 3968 4960 5084 5146 5248 5312 6355 6560 6640 6806 7936 9920 10168 10292 10496 10624 12710 12865 13120 13280 13612 15872 17015 19840 20336 20584 20992 21248 25420 25730 26240 26560 27224 34030 39680 40672 41168 42496 50840 51460 52480 53120 54448 68060 79360 81344 82336 101680 102920 104960 105493 106240 108896 136120 162688 164672 203360 205840 210986 212480 217792 272240 325376 329344 406720 411680 421972 435584 527465 544480 650752 658688 813440 823360 843944 871168 1054930 1088960 1317376 1626880 1646720 1687888 1742336 2109860 2177920 3253760 3293440 3375776 4219720 4355840 6586880 6751552 8439440 8711680 13503104 16878880 27006208 33757760 54012416 67515520 135031040 270062080