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1039413012 = 22311192931461
BaseRepresentation
bin111101111101000…
…010111100010100
32200102211122121020
4331331002330110
54112042204022
6251050121140
734520602431
oct7575027424
92612748536
101039413012
114937a3420
122501201b0
131374597b1
149c08ab88
15613b935c
hex3df42f14

1039413012 has 192 divisors, whose sum is σ = 2980454400. Its totient is φ = 278208000.

The previous prime is 1039413007. The next prime is 1039413029. The reversal of 1039413012 is 2103149301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2254462 + ... + 2254922.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 21039413012 is an apocalyptic number.

1039413012 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 1039413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

1039413012 is an abundant number, since it is smaller than the sum of its proper divisors (1941041388).

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

1039413012 is a wasteful number, since it uses less digits than its factorization.

1039413012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1039413012 is about 32239.9288460753. The cubic root of 1039413012 is about 1012.9687549949.

It can be divided in two parts, 103941 and 3012, that added together give a triangular number (106953 = T462).

The spelling of 1039413012 in words is "one billion, thirty-nine million, four hundred thirteen thousand, twelve".