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1230252032 = 2115931013
BaseRepresentation
bin100100101010100…
…0010100000000000
310011201221021112002
41021111002200000
510004421031112
6322024323132
742325653422
oct11125024000
93151837462
101230252032
11581499619
122a40134a8
13167b570a9
14b9566812
15730141c2
hex49542800

1230252032 has 48 divisors (see below), whose sum is σ = 2466484020. Its totient is φ = 613482496.

The previous prime is 1230252031. The next prime is 1230252043. The reversal of 1230252032 is 2302520321.

It can be written as a sum of positive squares in 2 ways, for example, as 1113957376 + 116294656 = 33376^2 + 10784^2 .

It is a super-3 number, since 3×12302520323 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1230251995 and 1230252013.

It is not an unprimeable number, because it can be changed into a prime (1230252031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1213958 + ... + 1214970.

Almost surely, 21230252032 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 1230252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233242010).

1230252032 is an abundant number, since it is smaller than the sum of its proper divisors (1236231988).

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

1230252032 is an equidigital number, since it uses as much as digits as its factorization.

1230252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1230252032 is about 35074.9487811458. The cubic root of 1230252032 is about 1071.5144455835.

Adding to 1230252032 its reverse (2302520321), we get a palindrome (3532772353).

The spelling of 1230252032 in words is "one billion, two hundred thirty million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 593 1013 1024 1186 2026 2048 2372 4052 4744 8104 9488 16208 18976 32416 37952 64832 75904 129664 151808 259328 303616 518656 600709 607232 1037312 1201418 1214464 2074624 2402836 4805672 9611344 19222688 38445376 76890752 153781504 307563008 615126016 1230252032