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1020018496 = 26721719253
BaseRepresentation
bin111100110011000…
…011111101000000
32122002100022022211
4330303003331000
54042111042441
6245114311504
734164004600
oct7463037500
92562308284
101020018496
11483856aa2
12245728594
13133428b53
149967cc00
155e837a81
hex3ccc3f40

1020018496 has 252 divisors, whose sum is σ = 2680833348. Its totient is φ = 382427136.

The previous prime is 1020018473. The next prime is 1020018551. The reversal of 1020018496 is 6948100201.

It is a happy number.

1020018496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 765296896 + 254721600 = 27664^2 + 15960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19245606 + ... + 19245658.

Almost surely, 21020018496 is an apocalyptic number.

1020018496 is a gapful number since it is divisible by the number (16) 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 1020018496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340416674).

1020018496 is an abundant number, since it is smaller than the sum of its proper divisors (1660814852).

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

1020018496 is a wasteful number, since it uses less digits than its factorization.

1020018496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1020018496 is about 31937.7284101421. The cubic root of 1020018496 is about 1006.6287939984.

Adding to 1020018496 its reverse (6948100201), we get a palindrome (7968118697).

The spelling of 1020018496 in words is "one billion, twenty million, eighteen thousand, four hundred ninety-six".