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1020433014 = 232314314243
BaseRepresentation
bin111100110100101…
…001001001110110
32122010010100221100
4330310221021312
54042212324024
6245131230530
734200352236
oct7464511166
92563110840
101020433014
1148400a477
122458a8446
13133542723
1499749cc6
155e8ba7c9
hex3cd29276

1020433014 has 48 divisors (see below), whose sum is σ = 2288093184. Its totient is φ = 328330800.

The previous prime is 1020433013. The next prime is 1020433049. The reversal of 1020433014 is 4103340201.

It is a super-2 number, since 2×10204330142 = 2082567072122248392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020433013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238377 + ... + 242619.

It is an arithmetic number, because the mean of its divisors is an integer number (47668608).

Almost surely, 21020433014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020433014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144046592).

1020433014 is an abundant number, since it is smaller than the sum of its proper divisors (1267660170).

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

1020433014 is a wasteful number, since it uses less digits than its factorization.

1020433014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1020433014 is about 31944.2172231532. The cubic root of 1020433014 is about 1006.7651344163.

Adding to 1020433014 its reverse (4103340201), we get a palindrome (5123773215).

The spelling of 1020433014 in words is "one billion, twenty million, four hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 431 558 862 1293 2586 3879 4243 7758 8486 12729 13361 25458 26722 38187 40083 76374 80166 120249 131533 240498 263066 394599 789198 1183797 1828733 2367594 3657466 5486199 10972398 16458597 32917194 56690723 113381446 170072169 340144338 510216507 1020433014