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20137040 = 2457211467
BaseRepresentation
bin100110011010…
…0010001010000
31101220001211022
41030310101100
520123341130
61555335012
7333106400
oct114642120
941801738
1020137040
1110404290
1268b1468
134230911
142962800
151b7b7e5
hex1334450

20137040 has 120 divisors (see below), whose sum is σ = 59540832. Its totient is φ = 6263040.

The previous prime is 20137003. The next prime is 20137043. The reversal of 20137040 is 4073102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20137043) 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, 42887 + ... + 43353.

Almost surely, 220137040 is an apocalyptic number.

20137040 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 20137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29770416).

20137040 is an abundant number, since it is smaller than the sum of its proper divisors (39403792).

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

20137040 is a wasteful number, since it uses less digits than its factorization.

20137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 20137040 is about 4487.4313365220. The cubic root of 20137040 is about 272.0603239906.

The spelling of 20137040 in words is "twenty million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 467 490 539 560 616 770 784 880 934 980 1078 1232 1540 1868 1960 2156 2335 2695 3080 3269 3736 3920 4312 4670 5137 5390 6160 6538 7472 8624 9340 10274 10780 13076 16345 18680 20548 21560 22883 25685 26152 32690 35959 37360 41096 43120 45766 51370 52304 65380 71918 82192 91532 102740 114415 130760 143836 179795 183064 205480 228830 251713 261520 287672 359590 366128 410960 457660 503426 575344 719180 915320 1006852 1258565 1438360 1830640 2013704 2517130 2876720 4027408 5034260 10068520 20137040