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20054430 = 23251147431
BaseRepresentation
bin100110010000…
…0000110011110
31101201212111200
41030200012132
520113220210
61553500330
7332313504
oct114400636
941655450
1020054430
1110358210
1268716a6
134202136
142940674
151b620c0
hex132019e

20054430 has 96 divisors (see below), whose sum is σ = 58226688. Its totient is φ = 4747200.

The previous prime is 20054417. The next prime is 20054431. The reversal of 20054430 is 3445002.

It is a happy number.

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 (20054431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46315 + ... + 46745.

It is an arithmetic number, because the mean of its divisors is an integer number (606528).

Almost surely, 220054430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20054430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113344).

20054430 is an abundant number, since it is smaller than the sum of its proper divisors (38172258).

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

20054430 is a wasteful number, since it uses less digits than its factorization.

20054430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20054430 is about 4478.2172792307. The cubic root of 20054430 is about 271.6877815314.

Adding to 20054430 its reverse (3445002), we get a palindrome (23499432).

The spelling of 20054430 in words is "twenty million, fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 47 55 66 90 94 99 110 141 165 198 235 282 330 423 431 470 495 517 705 846 862 990 1034 1293 1410 1551 2115 2155 2585 2586 3102 3879 4230 4310 4653 4741 5170 6465 7755 7758 9306 9482 12930 14223 15510 19395 20257 23265 23705 28446 38790 40514 42669 46530 47410 60771 71115 85338 101285 121542 142230 182313 202570 213345 222827 303855 364626 426690 445654 607710 668481 911565 1114135 1336962 1823130 2005443 2228270 3342405 4010886 6684810 10027215 20054430