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1020829350 = 23526805529
BaseRepresentation
bin111100110110001…
…001111010100110
32122010212111121110
4330312021322212
54042313014400
6245143525450
734203622602
oct7466117246
92563774543
101020829350
11484260222
12245a59886
13133650c48
1499810502
155e947e50
hex3cd89ea6

1020829350 has 24 divisors (see below), whose sum is σ = 2531657160. Its totient is φ = 272221120.

The previous prime is 1020829307. The next prime is 1020829351. The reversal of 1020829350 is 539280201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020829351) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3402615 + ... + 3402914.

It is an arithmetic number, because the mean of its divisors is an integer number (105485715).

Almost surely, 21020829350 is an apocalyptic number.

1020829350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020829350 is an abundant number, since it is smaller than the sum of its proper divisors (1510827810).

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

1020829350 is a wasteful number, since it uses less digits than its factorization.

1020829350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805544 (or 6805539 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1020829350 is about 31950.4201850304. The cubic root of 1020829350 is about 1006.8954600109.

The spelling of 1020829350 in words is "one billion, twenty million, eight hundred twenty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 6805529 13611058 20416587 34027645 40833174 68055290 102082935 170138225 204165870 340276450 510414675 1020829350