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20411430 = 23513199263
BaseRepresentation
bin100110111011…
…1010000100110
31102102000012220
41031313100212
520211131210
62005253210
7335331354
oct115672046
942360186
1020411430
1110581456
126a04206
1342c8790
1429d47d4
151bd2c70
hex1377426

20411430 has 64 divisors (see below), whose sum is σ = 53222400. Its totient is φ = 4980096.

The previous prime is 20411411. The next prime is 20411431. The reversal of 20411430 is 3411402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20411431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77479 + ... + 77741.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 220411430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611200).

20411430 is an abundant number, since it is smaller than the sum of its proper divisors (32810970).

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

20411430 is a wasteful number, since it uses less digits than its factorization.

20411430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20411430 is about 4517.9010613337. The cubic root of 20411430 is about 273.2904635655.

Adding to 20411430 its reverse (3411402), we get a palindrome (23822832).

It can be divided in two parts, 204 and 11430, that multiplied together give a triangular number (2331720 = T2159).

The spelling of 20411430 in words is "twenty million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 263 390 398 526 597 789 995 1194 1315 1578 1990 2587 2630 2985 3419 3945 5174 5970 6838 7761 7890 10257 12935 15522 17095 20514 25870 34190 38805 51285 52337 77610 102570 104674 157011 261685 314022 523370 680381 785055 1360762 1570110 2041143 3401905 4082286 6803810 10205715 20411430