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20433140 = 225713103109
BaseRepresentation
bin100110111110…
…0100011110100
31102110002222222
41031330203310
520212330030
62005541512
7335451560
oct115744364
942402888
1020433140
11105967a2
126a14898
134305620
1429dc6a0
151bd93e5
hex137c8f4

20433140 has 96 divisors (see below), whose sum is σ = 53813760. Its totient is φ = 6345216.

The previous prime is 20433137. The next prime is 20433163. The reversal of 20433140 is 4133402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187406 + ... + 187514.

It is an arithmetic number, because the mean of its divisors is an integer number (560560).

Almost surely, 220433140 is an apocalyptic number.

20433140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26906880).

20433140 is an abundant number, since it is smaller than the sum of its proper divisors (33380620).

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

20433140 is a wasteful number, since it uses less digits than its factorization.

20433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 20433140 is about 4520.3030871834. The cubic root of 20433140 is about 273.3873216114.

Adding to 20433140 its reverse (4133402), we get a palindrome (24566542).

The spelling of 20433140 in words is "twenty million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 109 130 140 182 206 218 260 364 412 436 455 515 545 721 763 910 1030 1090 1339 1417 1442 1526 1820 2060 2180 2678 2834 2884 3052 3605 3815 5356 5668 6695 7085 7210 7630 9373 9919 11227 13390 14170 14420 15260 18746 19838 22454 26780 28340 37492 39676 44908 46865 49595 56135 78589 93730 99190 112270 145951 157178 187460 198380 224540 291902 314356 392945 583804 729755 785890 1021657 1459510 1571780 2043314 2919020 4086628 5108285 10216570 20433140