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20067360 = 253597431
BaseRepresentation
bin100110010001…
…1010000100000
31101202112020120
41030203100200
520114123420
61554040240
7332366265
oct114432040
941675216
1020067360
11103669a5
126879080
134207ca1
14294526c
151b65d40
hex1323420

20067360 has 96 divisors (see below), whose sum is σ = 64012032. Its totient is φ = 5283840.

The previous prime is 20067319. The next prime is 20067367. The reversal of 20067360 is 6376002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20067360.

It is not an unprimeable number, because it can be changed into a prime (20067367) 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, 46345 + ... + 46775.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 220067360 is an apocalyptic number.

20067360 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 20067360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

20067360 is an abundant number, since it is smaller than the sum of its proper divisors (43944672).

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

20067360 is a wasteful number, since it uses less digits than its factorization.

20067360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 20067360 is about 4479.6607014371. The cubic root of 20067360 is about 271.7461587961.

The spelling of 20067360 in words is "twenty million, sixty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 431 480 485 582 776 862 970 1164 1293 1455 1552 1724 1940 2155 2328 2586 2910 3104 3448 3880 4310 4656 5172 5820 6465 6896 7760 8620 9312 10344 11640 12930 13792 15520 17240 20688 23280 25860 34480 41376 41807 46560 51720 68960 83614 103440 125421 167228 206880 209035 250842 334456 418070 501684 627105 668912 836140 1003368 1254210 1337824 1672280 2006736 2508420 3344560 4013472 5016840 6689120 10033680 20067360