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270628542 = 232171515857
BaseRepresentation
bin10000001000010…
…111011010111110
3200212020100120100
4100020113122332
51023240103132
642504301530
76464206332
oct2010273276
9625210510
10270628542
11129843258
12767718a6
13440b5c42
1427d297c2
1518b5b37c
hex102176be

270628542 has 48 divisors (see below), whose sum is σ = 625072032. Its totient is φ = 84326400.

The previous prime is 270628537. The next prime is 270628549. The reversal of 270628542 is 245826072.

270628542 is a `hidden beast` number, since 27 + 0 + 628 + 5 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 270628497 and 270628506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270628549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43278 + ... + 49134.

It is an arithmetic number, because the mean of its divisors is an integer number (13022334).

Almost surely, 2270628542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270628542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312536016).

270628542 is an abundant number, since it is smaller than the sum of its proper divisors (354443490).

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

270628542 is a wasteful number, since it uses less digits than its factorization.

270628542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6033 (or 6030 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 270628542 is about 16450.7915311088. The cubic root of 270628542 is about 646.8315563627.

The spelling of 270628542 in words is "two hundred seventy million, six hundred twenty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 151 153 302 306 453 906 1359 2567 2718 5134 5857 7701 11714 15402 17571 23103 35142 46206 52713 99569 105426 199138 298707 597414 884407 896121 1768814 1792242 2653221 5306442 7959663 15034919 15919326 30069838 45104757 90209514 135314271 270628542