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1076229440 = 265111329811
BaseRepresentation
bin100000000100101…
…1111010101000000
32210000010010020122
41000021133111000
54201003320230
6254443155412
735445541106
oct10011372500
92700103218
101076229440
1150255a120
12260515b68
13141c7a270
14a2d11c76
156473cbe5
hex4025f540

1076229440 has 224 divisors, whose sum is σ = 3118469760. Its totient is φ = 348364800.

The previous prime is 1076229389. The next prime is 1076229463. The reversal of 1076229440 is 449226701.

It is a self number, because there is not a number n which added to its sum of digits gives 1076229440.

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 31 ways as a sum of consecutive naturals, for example, 1326635 + ... + 1327445.

It is an arithmetic number, because the mean of its divisors is an integer number (13921740).

Almost surely, 21076229440 is an apocalyptic number.

1076229440 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 1076229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559234880).

1076229440 is an abundant number, since it is smaller than the sum of its proper divisors (2042240320).

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

1076229440 is a wasteful number, since it uses less digits than its factorization.

1076229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1076229440 is about 32805.9360482215. The cubic root of 1076229440 is about 1024.7901819192.

The spelling of 1076229440 in words is "one billion, seventy-six million, two hundred twenty-nine thousand, four hundred forty".