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270190564 = 227192983211
BaseRepresentation
bin10000000110101…
…100011111100100
3200211102002202221
4100012230133210
51023132044224
642451042124
76460403410
oct2006543744
9624362687
10270190564
11129574196
12765a0344
1343c91797
1427c53d40
1518ac16e4
hex101ac7e4

270190564 has 96 divisors (see below), whose sum is σ = 598348800. Its totient is φ = 104146560.

The previous prime is 270190553. The next prime is 270190567. The reversal of 270190564 is 465091072.

It is not an unprimeable number, because it can be changed into a prime (270190567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280419 + ... + 1280629.

It is an arithmetic number, because the mean of its divisors is an integer number (6232800).

Almost surely, 2270190564 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 270190564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299174400).

270190564 is an abundant number, since it is smaller than the sum of its proper divisors (328158236).

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

270190564 is a wasteful number, since it uses less digits than its factorization.

270190564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 270190564 is about 16437.4743802082. The cubic root of 270190564 is about 646.4824296542.

The spelling of 270190564 in words is "two hundred seventy million, one hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 83 116 133 166 203 211 266 332 406 422 532 551 581 812 844 1102 1162 1477 1577 2204 2324 2407 2954 3154 3857 4009 4814 5908 6119 6308 7714 8018 9628 11039 12238 15428 16036 16849 17513 22078 24476 28063 33698 35026 42833 44156 45733 56126 67396 70052 85666 91466 112252 116261 122591 171332 182932 232522 245182 320131 332747 465044 490364 507877 640262 665494 813827 1015754 1280524 1330988 1627654 2031508 2329229 3255308 3555139 4658458 7110278 9316916 9649663 14220556 19299326 38598652 67547641 135095282 270190564