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1012451328 = 21132721959
BaseRepresentation
bin111100010110001…
…100100000000000
32121120002212010100
4330112030200000
54033141420303
6244244202400
734042460100
oct7426144000
92546085110
101012451328
1147a558739
12243099400
131319a9735
149866d200
155dd408a3
hex3c58c800

1012451328 has 432 divisors, whose sum is σ = 3641274000. Its totient is φ = 269402112.

The previous prime is 1012451327. The next prime is 1012451333. The reversal of 1012451328 is 8231542101.

1012451328 is a `hidden beast` number, since 1 + 0 + 124 + 513 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (1012451327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17160163 + ... + 17160221.

It is an arithmetic number, because the mean of its divisors is an integer number (8428875).

Almost surely, 21012451328 is an apocalyptic number.

1012451328 is a gapful number since it is divisible by the number (18) 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 1012451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820637000).

1012451328 is an abundant number, since it is smaller than the sum of its proper divisors (2628822672).

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

1012451328 is a wasteful number, since it uses less digits than its factorization.

1012451328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1012451328 is about 31819.0403375086. The cubic root of 1012451328 is about 1004.1333346726.

Adding to 1012451328 its reverse (8231542101), we get a palindrome (9243993429).

The spelling of 1012451328 in words is "one billion, twelve million, four hundred fifty-one thousand, three hundred twenty-eight".