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270008320 = 2195103
BaseRepresentation
bin10000000110000…
…000000000000000
3200211001211210011
4100012000000000
51023110231240
642443114304
76456014161
oct2006000000
9624054704
10270008320
1112945a27a
1276512994
1343c2984a
1427c07768
1518a876ea
hex10180000

270008320 has 80 divisors (see below), whose sum is σ = 654310800. Its totient is φ = 106954752.

The previous prime is 270008311. The next prime is 270008353. The reversal of 270008320 is 23800072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 270008291 and 270008300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2621389 + ... + 2621491.

It is an arithmetic number, because the mean of its divisors is an integer number (8178885).

Almost surely, 2270008320 is an apocalyptic number.

270008320 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 270008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327155400).

270008320 is an abundant number, since it is smaller than the sum of its proper divisors (384302480).

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

270008320 is an frugal number, since it uses more digits than its factorization.

270008320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 270008320 is about 16431.9298927424. The cubic root of 270008320 is about 646.3370457920.

Adding to 270008320 its reverse (23800072), we get a palindrome (293808392).

The spelling of 270008320 in words is "two hundred seventy million, eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 512 515 640 824 1024 1030 1280 1648 2048 2060 2560 3296 4096 4120 5120 6592 8192 8240 10240 13184 16384 16480 20480 26368 32768 32960 40960 52736 65536 65920 81920 105472 131072 131840 163840 210944 262144 263680 327680 421888 524288 527360 655360 843776 1054720 1310720 1687552 2109440 2621440 3375104 4218880 6750208 8437760 13500416 16875520 27000832 33751040 54001664 67502080 135004160 270008320