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1078232540 = 22571137127149
BaseRepresentation
bin100000001000100…
…1000010111011100
32210010212212222112
41000101020113130
54202011420130
6254554133152
735501553050
oct10021102734
92703785875
101078232540
115036a8080
122611211b8
131424cbc28
14a32b3c60
15649d6495
hex404485dc

1078232540 has 192 divisors, whose sum is σ = 2941747200. Its totient is φ = 322237440.

The previous prime is 1078232537. The next prime is 1078232543. The reversal of 1078232540 is 452328701.

It is an interprime number because it is at equal distance from previous prime (1078232537) and next prime (1078232543).

It is a junction number, because it is equal to n+sod(n) for n = 1078232497 and 1078232506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1078232543) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7236386 + ... + 7236534.

It is an arithmetic number, because the mean of its divisors is an integer number (15321600).

Almost surely, 21078232540 is an apocalyptic number.

1078232540 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 1078232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

1078232540 is an abundant number, since it is smaller than the sum of its proper divisors (1863514660).

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

1078232540 is a wasteful number, since it uses less digits than its factorization.

1078232540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 1078232540 is about 32836.4513917080. The cubic root of 1078232540 is about 1025.4255746177.

The spelling of 1078232540 in words is "one billion, seventy-eight million, two hundred thirty-two thousand, five hundred forty".