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20064720 = 24351359109
BaseRepresentation
bin100110010001…
…0100111010000
31101202101121210
41030202213100
520114032340
61554020120
7332355504
oct114424720
941671553
1020064720
1110364a15
126877640
134206a20
142944304
151b65180
hex13229d0

20064720 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 4810752.

The previous prime is 20064701. The next prime is 20064721. The reversal of 20064720 is 2746002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20064721) 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, 184026 + ... + 184134.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 220064720 is an apocalyptic number.

20064720 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 20064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

20064720 is an abundant number, since it is smaller than the sum of its proper divisors (48680880).

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

20064720 is a wasteful number, since it uses less digits than its factorization.

20064720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20064720 is about 4479.3660265712. The cubic root of 20064720 is about 271.7342415779.

The spelling of 20064720 in words is "twenty million, sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 109 118 120 130 156 177 195 208 218 236 240 260 295 312 327 354 390 436 472 520 545 590 624 654 708 767 780 872 885 944 1040 1090 1180 1308 1416 1417 1534 1560 1635 1744 1770 2180 2301 2360 2616 2832 2834 3068 3120 3270 3540 3835 4251 4360 4602 4720 5232 5668 6136 6431 6540 7080 7085 7670 8502 8720 9204 11336 11505 12272 12862 13080 14160 14170 15340 17004 18408 19293 21255 22672 23010 25724 26160 28340 30680 32155 34008 36816 38586 42510 46020 51448 56680 61360 64310 68016 77172 83603 85020 92040 96465 102896 113360 128620 154344 167206 170040 184080 192930 250809 257240 308688 334412 340080 385860 418015 501618 514480 668824 771720 836030 1003236 1254045 1337648 1543440 1672060 2006472 2508090 3344120 4012944 5016180 6688240 10032360 20064720