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20433402 = 23211313329
BaseRepresentation
bin100110111110…
…0100111111010
31102110010100200
41031330213322
520212332102
62005543030
7335452413
oct115744772
942403320
1020433402
1110596a10
126a14a76
134305792
1429dc80a
151bd951c
hex137c9fa

20433402 has 48 divisors (see below), whose sum is σ = 49870080. Its totient is φ = 5990400.

The previous prime is 20433397. The next prime is 20433403.

20433402 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (20433403) 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, 4474 + ... + 7802.

It is an arithmetic number, because the mean of its divisors is an integer number (1038960).

Almost surely, 220433402 is an apocalyptic number.

20433402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935040).

20433402 is an abundant number, since it is smaller than the sum of its proper divisors (29436678).

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

20433402 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 20433402 = (42403320)9.

20433402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20433402 is about 4520.3320674481. The cubic root of 20433402 is about 273.3884900918.

It can be divided in two parts, 2043 and 3402, that added together give a palindrome (5445).

The spelling of 20433402 in words is "twenty million, four hundred thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 3329 6138 6658 9987 19974 29961 36619 59922 73238 103199 109857 206398 219714 309597 329571 619194 659142 928791 1135189 1857582 2270378 3405567 6811134 10216701 20433402