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1020824430 = 23576944249
BaseRepresentation
bin111100110110001…
…000101101101110
32122010212020212020
4330312020231232
54042312340210
6245143451010
734203602343
oct7466105556
92563766766
101020824430
1148425755a
12245a56a66
1313364b932
149980c7ca
155e946770
hex3cd88b6e

1020824430 has 32 divisors (see below), whose sum is σ = 2453220000. Its totient is φ = 271859712.

The previous prime is 1020824383. The next prime is 1020824489. The reversal of 1020824430 is 344280201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020824430.

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 15 ways as a sum of consecutive naturals, for example, 946 + ... + 45194.

It is an arithmetic number, because the mean of its divisors is an integer number (76663125).

Almost surely, 21020824430 is an apocalyptic number.

1020824430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020824430 is an abundant number, since it is smaller than the sum of its proper divisors (1432395570).

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

1020824430 is a wasteful number, since it uses less digits than its factorization.

1020824430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45028.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1020824430 is about 31950.3431906451. The cubic root of 1020824430 is about 1006.8938423936.

The spelling of 1020824430 in words is "one billion, twenty million, eight hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 769 1538 2307 3845 4614 7690 11535 23070 44249 88498 132747 221245 265494 442490 663735 1327470 34027481 68054962 102082443 170137405 204164886 340274810 510412215 1020824430