Search a number
-
+
1264648340 = 225619771061
BaseRepresentation
bin100101101100001…
…0000000010010100
310021010122210101102
41023120100002110
510042222221330
6325253445232
743224222254
oct11330200224
93233583342
101264648340
1159995201a
122b3640818
1317200b137
14bdd5b964
157605a945
hex4b610094

1264648340 has 48 divisors (see below), whose sum is σ = 2704608144. Its totient is φ = 496588800.

The previous prime is 1264648291. The next prime is 1264648349. The reversal of 1264648340 is 438464621.

It can be written as a sum of positive squares in 8 ways, for example, as 988036 + 1263660304 = 994^2 + 35548^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1264648294 and 1264648303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264648349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191410 + ... + 1192470.

It is an arithmetic number, because the mean of its divisors is an integer number (56346003).

Almost surely, 21264648340 is an apocalyptic number.

1264648340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1264648340 is an abundant number, since it is smaller than the sum of its proper divisors (1439959804).

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

1264648340 is a wasteful number, since it uses less digits than its factorization.

1264648340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The square root of 1264648340 is about 35561.8944939664. The cubic root of 1264648340 is about 1081.4088666297.

The spelling of 1264648340 in words is "one billion, two hundred sixty-four million, six hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 977 1061 1220 1954 2122 3908 4244 4885 5305 9770 10610 19540 21220 59597 64721 119194 129442 238388 258884 297985 323605 595970 647210 1036597 1191940 1294420 2073194 4146388 5182985 10365970 20731940 63232417 126464834 252929668 316162085 632324170 1264648340