Search a number
-
+
1074939840 = 263251328711
BaseRepresentation
bin100000000010010…
…0100011111000000
32202220200121020200
41000010210133000
54200141033330
6254355405200
735431560252
oct10004443700
92686617220
101074939840
11501859237
1225bbb3800
131419182a0
14a2a97cd2
1564585a60
hex401247c0

1074939840 has 168 divisors, whose sum is σ = 3981895008. Its totient is φ = 264591360.

The previous prime is 1074939791. The next prime is 1074939851. The reversal of 1074939840 is 489394701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23085 + ... + 51795.

It is an arithmetic number, because the mean of its divisors is an integer number (23701756).

Almost surely, 21074939840 is an apocalyptic number.

1074939840 is a gapful number since it is divisible by the number (10) 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 1074939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990947504).

1074939840 is an abundant number, since it is smaller than the sum of its proper divisors (2906955168).

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

1074939840 is a wasteful number, since it uses less digits than its factorization.

1074939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28747 (or 28734 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1074939840 is about 32786.2751772750. The cubic root of 1074939840 is about 1024.3806974786.

The spelling of 1074939840 in words is "one billion, seventy-four million, nine hundred thirty-nine thousand, eight hundred forty".