Search a number
-
+
1261514640 = 24355256311
BaseRepresentation
bin100101100110001…
…0010111110010000
310020220202120202110
41023030102332100
510040421432030
6325102345320
743155461151
oct11314227620
93226676673
101261514640
11598101691
122b258b240
13171481989
14bd783928
1575b3c1b0
hex4b312f90

1261514640 has 40 divisors (see below), whose sum is σ = 3910696128. Its totient is φ = 336403840.

The previous prime is 1261514629. The next prime is 1261514647. The reversal of 1261514640 is 464151621.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1261514598 and 1261514607.

It is not an unprimeable number, because it can be changed into a prime (1261514647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2627916 + ... + 2628395.

Almost surely, 21261514640 is an apocalyptic number.

1261514640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1261514640 is an abundant number, since it is smaller than the sum of its proper divisors (2649181488).

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

1261514640 is a wasteful number, since it uses less digits than its factorization.

1261514640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256327 (or 5256321 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1261514640 is about 35517.8073647572. The cubic root of 1261514640 is about 1080.5149122163.

The spelling of 1261514640 in words is "one billion, two hundred sixty-one million, five hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5256311 10512622 15768933 21025244 26281555 31537866 42050488 52563110 63075732 78844665 84100976 105126220 126151464 157689330 210252440 252302928 315378660 420504880 630757320 1261514640