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272303720 = 235133714153
BaseRepresentation
bin10000001110110…
…000011001101000
3200222101110110222
4100032300121220
51024202204340
643004225212
76514354253
oct2016603150
9628343428
10272303720
1112a7878a7
127723b208
1344551580
142824409a
1518d8c8b5
hex103b0668

272303720 has 64 divisors (see below), whose sum is σ = 677693520. Its totient is φ = 97818624.

The previous prime is 272303719. The next prime is 272303723. The reversal of 272303720 is 27303272.

It can be written as a sum of positive squares in 8 ways, for example, as 109537156 + 162766564 = 10466^2 + 12758^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 272303720.

It is not an unprimeable number, because it can be changed into a prime (272303723) 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, 12164 + ... + 26316.

Almost surely, 2272303720 is an apocalyptic number.

272303720 is a gapful number since it is divisible by the number (20) 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 272303720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338846760).

272303720 is an abundant number, since it is smaller than the sum of its proper divisors (405389800).

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

272303720 is a wasteful number, since it uses less digits than its factorization.

272303720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214 (or 14210 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 272303720 is about 16501.6277984931. The cubic root of 272303720 is about 648.1634310636.

Adding to 272303720 its reverse (27303272), we get a palindrome (299606992).

The spelling of 272303720 in words is "two hundred seventy-two million, three hundred three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1480 1924 2405 3848 4810 9620 14153 19240 28306 56612 70765 113224 141530 183989 283060 367978 523661 566120 735956 919945 1047322 1471912 1839890 2094644 2618305 3679780 4189288 5236610 6807593 7359560 10473220 13615186 20946440 27230372 34037965 54460744 68075930 136151860 272303720