Search a number
-
+
1270733268 = 223725936629
BaseRepresentation
bin100101110111101…
…1101100111010100
310021120002221100010
41023233131213110
510100301431033
6330032120220
743330024500
oct11357354724
93246087303
101270733268
115a2328792
122b5696070
1317335b99c
14c0aa3300
157685d863
hex4bbdd9d4

1270733268 has 72 divisors (see below), whose sum is σ = 3507688800. Its totient is φ = 356903232.

The previous prime is 1270733263. The next prime is 1270733287. The reversal of 1270733268 is 8623370721.

It is a super-2 number, since 2×12707332682 = 3229526076803919648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270733263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16378 + ... + 53006.

It is an arithmetic number, because the mean of its divisors is an integer number (48717900).

Almost surely, 21270733268 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 1270733268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753844400).

1270733268 is an abundant number, since it is smaller than the sum of its proper divisors (2236955532).

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

1270733268 is a wasteful number, since it uses less digits than its factorization.

1270733268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36709 (or 36700 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1270733268 is about 35647.3458759555. The cubic root of 1270733268 is about 1083.1405125434.

The spelling of 1270733268 in words is "one billion, two hundred seventy million, seven hundred thirty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8673 11564 17346 34692 36629 73258 109887 146516 219774 256403 439548 512806 769209 1025612 1538418 1794821 2161111 3076836 3589642 4322222 5384463 6483333 7179284 8644444 10768926 12966666 15127777 21537852 25933332 30255554 45383331 60511108 90766662 105894439 181533324 211788878 317683317 423577756 635366634 1270733268