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270557028 = 22327321911
BaseRepresentation
bin10000001000000…
…101111101100100
3200212002201110200
4100020011331210
51023230311103
642502550500
76463461000
oct2010057544
9625081420
10270557028
111297a4555
1276738430
134408c521
1427d0b700
1518b450a3
hex10205f64

270557028 has 72 divisors (see below), whose sum is σ = 797596800. Its totient is φ = 77298480.

The previous prime is 270557011. The next prime is 270557029. The reversal of 270557028 is 820755072.

It is a super-2 number, since 2×2705570282 = 146402210800385568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 270556983 and 270557001.

It is not an unprimeable number, because it can be changed into a prime (270557029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393 + ... + 23303.

Almost surely, 2270557028 is an apocalyptic number.

270557028 is a gapful number since it is divisible by the number (28) 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 270557028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398798400).

270557028 is an abundant number, since it is smaller than the sum of its proper divisors (527039772).

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

270557028 is a wasteful number, since it uses less digits than its factorization.

270557028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21942 (or 21923 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 270557028 is about 16448.6178142724. The cubic root of 270557028 is about 646.7745759389.

The spelling of 270557028 in words is "two hundred seventy million, five hundred fifty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 21911 43822 65733 87644 131466 153377 197199 262932 306754 394398 460131 613508 788796 920262 1073639 1380393 1840524 2147278 2760786 3220917 4294556 5521572 6441834 7515473 9662751 12883668 15030946 19325502 22546419 30061892 38651004 45092838 67639257 90185676 135278514 270557028