Search a number
-
+
270796320 = 25325383491
BaseRepresentation
bin10000001001000…
…000011000100000
3200212112212201100
4100021000120200
51023310440240
642512034400
76465505434
oct2011003040
9625485640
10270796320
11129948313
1276832a00
1344144412
1427d709c4
1518b90e30
hex10240620

270796320 has 144 divisors (see below), whose sum is σ = 928392192. Its totient is φ = 71877120.

The previous prime is 270796313. The next prime is 270796333. The reversal of 270796320 is 23697072.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551275 + ... + 551765.

It is an arithmetic number, because the mean of its divisors is an integer number (6447168).

Almost surely, 2270796320 is an apocalyptic number.

270796320 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 270796320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464196096).

270796320 is an abundant number, since it is smaller than the sum of its proper divisors (657595872).

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

270796320 is a wasteful number, since it uses less digits than its factorization.

270796320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 270796320 is about 16455.8901308923. The cubic root of 270796320 is about 646.9651979525.

Adding to 270796320 its product of nonzero digits (31752), we get a palindrome (270828072).

The spelling of 270796320 in words is "two hundred seventy million, seven hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 383 480 491 720 766 982 1149 1440 1473 1532 1915 1964 2298 2455 2946 3064 3447 3830 3928 4419 4596 4910 5745 5892 6128 6894 7365 7660 7856 8838 9192 9820 11490 11784 12256 13788 14730 15320 15712 17235 17676 18384 19640 22095 22980 23568 27576 29460 30640 34470 35352 36768 39280 44190 45960 47136 55152 58920 61280 68940 70704 78560 88380 91920 110304 117840 137880 141408 176760 183840 188053 235680 275760 353520 376106 551520 564159 707040 752212 940265 1128318 1504424 1692477 1880530 2256636 2820795 3008848 3384954 3761060 4513272 5641590 6017696 6769908 7522120 8462385 9026544 11283180 13539816 15044240 16924770 18053088 22566360 27079632 30088480 33849540 45132720 54159264 67699080 90265440 135398160 270796320