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270749136 = 24373112591
BaseRepresentation
bin10000001000110…
…100110111010000
3200212110110222210
4100020310313100
51023302433021
642511032120
76465221040
oct2010646720
9625413883
10270749136
11129915919
127680b640
1344128ab8
1427d5b720
1518b81e76
hex10234dd0

270749136 has 80 divisors (see below), whose sum is σ = 802234368. Its totient is φ = 77078400.

The previous prime is 270749131. The next prime is 270749147. The reversal of 270749136 is 631947072.

It is a junction number, because it is equal to n+sod(n) for n = 270749094 and 270749103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270749131) 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 15 ways as a sum of consecutive naturals, for example, 103201 + ... + 105791.

Almost surely, 2270749136 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 270749136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401117184).

270749136 is an abundant number, since it is smaller than the sum of its proper divisors (531485232).

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

270749136 is a wasteful number, since it uses less digits than its factorization.

270749136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 270749136 is about 16454.4564176396. The cubic root of 270749136 is about 646.9276196735.

The spelling of 270749136 in words is "two hundred seventy million, seven hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 311 336 622 933 1244 1866 2177 2488 2591 3732 4354 4976 5182 6531 7464 7773 8708 10364 13062 14928 15546 17416 18137 20728 26124 31092 34832 36274 41456 52248 54411 62184 72548 104496 108822 124368 145096 217644 290192 435288 805801 870576 1611602 2417403 3223204 4834806 5640607 6446408 9669612 11281214 12892816 16921821 19339224 22562428 33843642 38678448 45124856 67687284 90249712 135374568 270749136