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20190720 = 293511239
BaseRepresentation
bin100110100000…
…1011000000000
31101222210110110
41031001120000
520132100340
62000431320
7333422034
oct115013000
941883413
1020190720
1110440650
126918540
13424c194
1429781c4
151b8c680
hex1341600

20190720 has 160 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 4874240.

The previous prime is 20190719. The next prime is 20190733. The reversal of 20190720 is 2709102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84361 + ... + 84599.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 220190720 is an apocalyptic number.

20190720 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 20190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

20190720 is an abundant number, since it is smaller than the sum of its proper divisors (50519040).

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

20190720 is a wasteful number, since it uses less digits than its factorization.

20190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 20190720 is about 4493.4085058005. The cubic root of 20190720 is about 272.3018563510.

Adding to 20190720 its reverse (2709102), we get a palindrome (22899822).

It can be divided in two parts, 20190 and 720, that added together give a triangular number (20910 = T204).

The spelling of 20190720 in words is "twenty million, one hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 239 240 256 264 320 330 352 384 440 478 480 512 528 640 660 704 717 768 880 956 960 1056 1195 1280 1320 1408 1434 1536 1760 1912 1920 2112 2390 2560 2629 2640 2816 2868 3520 3585 3824 3840 4224 4780 5258 5280 5632 5736 7040 7170 7648 7680 7887 8448 9560 10516 10560 11472 13145 14080 14340 15296 15774 16896 19120 21032 21120 22944 26290 28160 28680 30592 31548 38240 39435 42064 42240 45888 52580 57360 61184 63096 76480 78870 84128 84480 91776 105160 114720 122368 126192 152960 157740 168256 183552 210320 229440 252384 305920 315480 336512 367104 420640 458880 504768 611840 630960 673024 841280 917760 1009536 1261920 1346048 1682560 1835520 2019072 2523840 3365120 4038144 5047680 6730240 10095360 20190720