Search a number
-
+
1312420032 = 2632711127233
BaseRepresentation
bin100111000111001…
…1111000011000000
310101110112211211100
41032032133003000
510141434420112
6334121414400
744344246320
oct11616370300
93343484740
101312420032
11613910660
1230763a400
1317bb96201
14c6435280
157a3452dc
hex4e39f0c0

1312420032 has 336 divisors, whose sum is σ = 4747272192. Its totient is φ = 336752640.

The previous prime is 1312420001. The next prime is 1312420049. The reversal of 1312420032 is 2300242131.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1312419987 and 1312420014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5632588 + ... + 5632820.

Almost surely, 21312420032 is an apocalyptic number.

1312420032 is a gapful number since it is divisible by the number (12) 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 1312420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373636096).

1312420032 is an abundant number, since it is smaller than the sum of its proper divisors (3434852160).

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

1312420032 is a wasteful number, since it uses less digits than its factorization.

1312420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1312420032 is about 36227.3381854091. The cubic root of 1312420032 is about 1094.8575482418.

Adding to 1312420032 its reverse (2300242131), we get a palindrome (3612662163).

The spelling of 1312420032 in words is "one billion, three hundred twelve million, four hundred twenty thousand, thirty-two".