Search a number
-
+
1296556032 = 213352757
BaseRepresentation
bin100110101000111…
…1110000000000000
310100100200212111210
41031101332000000
510123404243112
6332353410120
744062354512
oct11521760000
93310625453
101296556032
11605965812
12302269940
13178800525
14c42a5bb2
1578c5eb3c
hex4d47e000

1296556032 has 56 divisors (see below), whose sum is σ = 3457337256. Its totient is φ = 432177152.

The previous prime is 1296556007. The next prime is 1296556057. The reversal of 1296556032 is 2306556921.

It is an interprime number because it is at equal distance from previous prime (1296556007) and next prime (1296556057).

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 3 ways as a sum of consecutive naturals, for example, 1803 + ... + 50954.

Almost surely, 21296556032 is an apocalyptic number.

1296556032 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 1296556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728668628).

1296556032 is an abundant number, since it is smaller than the sum of its proper divisors (2160781224).

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

1296556032 is an frugal number, since it uses more digits than its factorization.

1296556032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52786 (or 52762 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 1296556032 is about 36007.7218385168. The cubic root of 1296556032 is about 1090.4282558128.

The spelling of 1296556032 in words is "one billion, two hundred ninety-six million, five hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 24576 52757 105514 158271 211028 316542 422056 633084 844112 1266168 1688224 2532336 3376448 5064672 6752896 10129344 13505792 20258688 27011584 40517376 54023168 81034752 108046336 162069504 216092672 324139008 432185344 648278016 1296556032