Search a number
-
+
20367620 = 22571319231
BaseRepresentation
bin100110110110…
…0100100000100
31102022210010022
41031230210010
520203230440
62004314312
7335056550
oct115544404
942283108
1020367620
1110551549
1269a2998
1342b1860
1429c2860
151bc4cb5
hex136c904

20367620 has 144 divisors (see below), whose sum is σ = 57351168. Its totient is φ = 5909760.

The previous prime is 20367593. The next prime is 20367623. The reversal of 20367620 is 2676302.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20367620.

It is not an unprimeable number, because it can be changed into a prime (20367623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657005 + ... + 657035.

It is an arithmetic number, because the mean of its divisors is an integer number (398272).

Almost surely, 220367620 is an apocalyptic number.

20367620 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 20367620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28675584).

20367620 is an abundant number, since it is smaller than the sum of its proper divisors (36983548).

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

20367620 is a wasteful number, since it uses less digits than its factorization.

20367620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 20367620 is about 4513.0499664861. The cubic root of 20367620 is about 273.0947981727.

The spelling of 20367620 in words is "twenty million, three hundred sixty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 31 35 38 52 62 65 70 76 91 95 124 130 133 140 155 182 190 217 247 260 266 310 361 364 380 403 434 455 494 532 589 620 665 722 806 868 910 988 1085 1178 1235 1330 1444 1612 1729 1805 1820 2015 2170 2356 2470 2527 2660 2821 2945 3458 3610 4030 4123 4340 4693 4940 5054 5642 5890 6916 7220 7657 8060 8246 8645 9386 10108 11191 11284 11780 12635 14105 15314 16492 17290 18772 20615 22382 23465 25270 28210 30628 32851 34580 38285 41230 44764 46930 50540 53599 55955 56420 65702 76570 78337 82460 93860 107198 111910 131404 145483 153140 156674 164255 214396 223820 267995 290966 313348 328510 391685 535990 581932 657020 727415 783370 1018381 1071980 1454830 1566740 2036762 2909660 4073524 5091905 10183810 20367620