Search a number
-
+
1277240272 = 247211295107
BaseRepresentation
bin100110000100001…
…0010001111010000
310022000100112021021
41030020102033100
510103433142042
6330423405224
743436235400
oct11410221720
93260315237
101277240272
115a5a72580
122b78b3814
131747c9699
14c18b8800
15771e6867
hex4c2123d0

1277240272 has 120 divisors (see below), whose sum is σ = 3249300960. Its totient is φ = 480372480.

The previous prime is 1277240257. The next prime is 1277240291. The reversal of 1277240272 is 2720427721.

It is a congruent number.

It is an unprimeable number.

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, 247543 + ... + 252649.

It is an arithmetic number, because the mean of its divisors is an integer number (27077508).

Almost surely, 21277240272 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 1277240272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624650480).

1277240272 is an abundant number, since it is smaller than the sum of its proper divisors (1972060688).

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

1277240272 is a wasteful number, since it uses less digits than its factorization.

1277240272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 34.

The square root of 1277240272 is about 35738.4984575458. The cubic root of 1277240272 is about 1084.9861670106.

Adding to 1277240272 its reverse (2720427721), we get a palindrome (3997667993).

The spelling of 1277240272 in words is "one billion, two hundred seventy-seven million, two hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 49 56 58 77 88 98 112 116 154 176 196 203 232 308 319 392 406 464 539 616 638 784 812 1078 1232 1276 1421 1624 2156 2233 2552 2842 3248 4312 4466 5104 5107 5684 8624 8932 10214 11368 15631 17864 20428 22736 31262 35728 35749 40856 56177 62524 71498 81712 112354 125048 142996 148103 224708 250096 250243 285992 296206 393239 449416 500486 571984 592412 786478 898832 1000972 1036721 1184824 1572956 1629133 2001944 2073442 2369648 2752673 3145912 3258266 4003888 4146884 5505346 6291824 6516532 7257047 8293768 11010692 11403931 13033064 14514094 16587536 22021384 22807862 26066128 29028188 44042768 45615724 58056376 79827517 91231448 116112752 159655034 182462896 319310068 638620136 1277240272