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20894640 = 24351337181
BaseRepresentation
bin100111110110…
…1001110110000
31110022120001120
41033231032300
520322112030
62023502240
7342413214
oct117551660
943276046
1020894640
11108814a8
126bb7980
1344376c0
142abc944
151c7b010
hex13ed3b0

20894640 has 160 divisors (see below), whose sum is σ = 72037056. Its totient is φ = 4976640.

The previous prime is 20894633. The next prime is 20894641. The reversal of 20894640 is 4649802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20894641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115350 + ... + 115530.

Almost surely, 220894640 is an apocalyptic number.

20894640 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 20894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36018528).

20894640 is an abundant number, since it is smaller than the sum of its proper divisors (51142416).

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

20894640 is a wasteful number, since it uses less digits than its factorization.

20894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20894640 is about 4571.0655212981. The cubic root of 20894640 is about 275.4302466240.

The spelling of 20894640 in words is "twenty million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 37 39 40 48 52 60 65 74 78 80 104 111 120 130 148 156 181 185 195 208 222 240 260 296 312 362 370 390 444 481 520 543 555 592 624 724 740 780 888 905 962 1040 1086 1110 1443 1448 1480 1560 1776 1810 1924 2172 2220 2353 2405 2715 2886 2896 2960 3120 3620 3848 4344 4440 4706 4810 5430 5772 6697 7059 7215 7240 7696 8688 8880 9412 9620 10860 11544 11765 13394 14118 14430 14480 18824 19240 20091 21720 23088 23530 26788 28236 28860 33485 35295 37648 38480 40182 43440 47060 53576 56472 57720 66970 70590 80364 87061 94120 100455 107152 112944 115440 133940 141180 160728 174122 188240 200910 261183 267880 282360 321456 348244 401820 435305 522366 535760 564720 696488 803640 870610 1044732 1305915 1392976 1607280 1741220 2089464 2611830 3482440 4178928 5223660 6964880 10447320 20894640