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1074028032 = 29337111009
BaseRepresentation
bin100000000000100…
…0101111000000000
32202211222021111000
41000001011320000
54144422344112
6254324052000
735421042030
oct10001057000
92684867430
101074028032
11501296180
1225b834000
1314168925c
14a28db8c0
15644557dc
hex40045e00

1074028032 has 320 divisors, whose sum is σ = 3967603200. Its totient is φ = 278691840.

The previous prime is 1074028031. The next prime is 1074028061. The reversal of 1074028032 is 2308204701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1074027987 and 1074028005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074028031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063944 + ... + 1064952.

It is an arithmetic number, because the mean of its divisors is an integer number (12398760).

Almost surely, 21074028032 is an apocalyptic number.

1074028032 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 1074028032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983801600).

1074028032 is an abundant number, since it is smaller than the sum of its proper divisors (2893575168).

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

1074028032 is a wasteful number, since it uses less digits than its factorization.

1074028032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1074028032 is about 32772.3668965182. The cubic root of 1074028032 is about 1024.0909749902.

The spelling of 1074028032 in words is "one billion, seventy-four million, twenty-eight thousand, thirty-two".