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20202840 = 2332578017
BaseRepresentation
bin100110100010…
…0010101011000
31102000102002100
41031010111120
520132442330
62001003400
7333502260
oct115042530
942012070
1020202840
1110449769
126923560
134254858
14297c7a0
151b91060
hex1344558

20202840 has 96 divisors (see below), whose sum is σ = 75048480. Its totient is φ = 4617216.

The previous prime is 20202829. The next prime is 20202841. The reversal of 20202840 is 4820202.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202841) 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, 1489 + ... + 6528.

It is an arithmetic number, because the mean of its divisors is an integer number (781755).

Almost surely, 220202840 is an apocalyptic number.

20202840 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 20202840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37524240).

20202840 is an abundant number, since it is smaller than the sum of its proper divisors (54845640).

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

20202840 is a wasteful number, since it uses less digits than its factorization.

20202840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20202840 is about 4494.7569455978. The cubic root of 20202840 is about 272.3563308547.

The spelling of 20202840 in words is "twenty million, two hundred two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8017 16034 24051 32068 40085 48102 56119 64136 72153 80170 96204 112238 120255 144306 160340 168357 192408 224476 240510 280595 288612 320680 336714 360765 448952 481020 505071 561190 577224 673428 721530 841785 962040 1010142 1122380 1346856 1443060 1683570 2020284 2244760 2525355 2886120 3367140 4040568 5050710 6734280 10101420 20202840