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1020432444 = 2232313726987
BaseRepresentation
bin111100110100101…
…001000000111100
32122010010100011020
4330310221000330
54042212314234
6245131224140
734200350463
oct7464510074
92563110136
101020432444
11484009aa9
122458a8050
131335423a5
14997499da
155e8ba549
hex3cd2903c

1020432444 has 48 divisors (see below), whose sum is σ = 2502759168. Its totient is φ = 322968448.

The previous prime is 1020432443. The next prime is 1020432521. The reversal of 1020432444 is 4442340201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020432443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24319 + ... + 51305.

It is an arithmetic number, because the mean of its divisors is an integer number (52140816).

Almost surely, 21020432444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020432444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251379584).

1020432444 is an abundant number, since it is smaller than the sum of its proper divisors (1482326724).

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

1020432444 is a wasteful number, since it uses less digits than its factorization.

1020432444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27154 (or 27152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1020432444 is about 31944.2083013494. The cubic root of 1020432444 is about 1006.7649469611.

Adding to 1020432444 its reverse (4442340201), we get a palindrome (5462772645).

The spelling of 1020432444 in words is "one billion, twenty million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 137 138 274 276 411 548 822 1644 3151 6302 9453 12604 18906 26987 37812 53974 80961 107948 161922 323844 620701 1241402 1862103 2482804 3697219 3724206 7394438 7448412 11091657 14788876 22183314 44366628 85036037 170072074 255108111 340144148 510216222 1020432444