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270019904 = 26711157349
BaseRepresentation
bin10000000110000…
…010110101000000
3200211002102200012
4100012002311000
51023111114104
642443244052
76456063020
oct2006026500
9624072605
10270019904
11129467a50
1276519628
1343c31bbb
1427c0ba80
1518a8ad6e
hex10182d40

270019904 has 112 divisors (see below), whose sum is σ = 674217600. Its totient is φ = 104232960.

The previous prime is 270019879. The next prime is 270019909. The reversal of 270019904 is 409910072.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270019909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773522 + ... + 773870.

It is an arithmetic number, because the mean of its divisors is an integer number (6019800).

Almost surely, 2270019904 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 270019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337108800).

270019904 is an abundant number, since it is smaller than the sum of its proper divisors (404197696).

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

270019904 is a wasteful number, since it uses less digits than its factorization.

270019904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 270019904 is about 16432.2823734258. The cubic root of 270019904 is about 646.3462887927.

Adding to 270019904 its reverse (409910072), we get a palindrome (679929976).

The spelling of 270019904 in words is "two hundred seventy million, nineteen thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 157 176 224 308 314 349 352 448 616 628 698 704 1099 1232 1256 1396 1727 2198 2443 2464 2512 2792 3454 3839 4396 4886 4928 5024 5584 6908 7678 8792 9772 10048 11168 12089 13816 15356 17584 19544 22336 24178 26873 27632 30712 35168 39088 48356 53746 54793 55264 61424 70336 78176 96712 107492 109586 110528 122848 156352 193424 214984 219172 245696 383551 386848 429968 438344 602723 767102 773696 859936 876688 1205446 1534204 1719872 1753376 2410892 3068408 3506752 4219061 4821784 6136816 8438122 9643568 12273632 16876244 19287136 24547264 33752488 38574272 67504976 135009952 270019904