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20034240 = 263541509
BaseRepresentation
bin100110001101…
…1001011000000
31101200211210220
41030123023000
520112043430
61553223040
7332200602
oct114331300
941624726
1020034240
1110344026
126861a80
1341c5ba5
142937172
151b5b110
hex131b2c0

20034240 has 112 divisors (see below), whose sum is σ = 65288160. Its totient is φ = 5201920.

The previous prime is 20034233. The next prime is 20034241. The reversal of 20034240 is 4243002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20034241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39106 + ... + 39614.

It is an arithmetic number, because the mean of its divisors is an integer number (582930).

Almost surely, 220034240 is an apocalyptic number.

20034240 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 20034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32644080).

20034240 is an abundant number, since it is smaller than the sum of its proper divisors (45253920).

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

20034240 is a wasteful number, since it uses less digits than its factorization.

20034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20034240 is about 4475.9624663306. The cubic root of 20034240 is about 271.5965761109.

Adding to 20034240 its reverse (4243002), we get a palindrome (24277242).

The spelling of 20034240 in words is "twenty million, thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 509 615 656 820 960 984 1018 1230 1312 1527 1640 1968 2036 2460 2545 2624 3054 3280 3936 4072 4920 5090 6108 6560 7635 7872 8144 9840 10180 12216 13120 15270 16288 19680 20360 20869 24432 30540 32576 39360 40720 41738 48864 61080 62607 81440 83476 97728 104345 122160 125214 162880 166952 208690 244320 250428 313035 333904 417380 488640 500856 626070 667808 834760 1001712 1252140 1335616 1669520 2003424 2504280 3339040 4006848 5008560 6678080 10017120 20034240