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20190960 = 2432529967
BaseRepresentation
bin100110100000…
…1011011110000
31101222210210100
41031001123300
520132102320
62000432400
7333422526
oct115013360
941883710
1020190960
1110440849
126918700
13424c31a
142978316
151b8c790
hex13416f0

20190960 has 120 divisors (see below), whose sum is σ = 70218720. Its totient is φ = 5193216.

The previous prime is 20190943. The next prime is 20191009. The reversal of 20190960 is 6909102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20397 + ... + 21363.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 220190960 is an apocalyptic number.

20190960 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 20190960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109360).

20190960 is an abundant number, since it is smaller than the sum of its proper divisors (50027760).

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

20190960 is a wasteful number, since it uses less digits than its factorization.

20190960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 20190960 is about 4493.4352115058. The cubic root of 20190960 is about 272.3029352656.

The spelling of 20190960 in words is "twenty million, one hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 967 1044 1160 1305 1392 1740 1934 2088 2320 2610 2901 3480 3868 4176 4835 5220 5802 6960 7736 8703 9670 10440 11604 14505 15472 17406 19340 20880 23208 28043 29010 34812 38680 43515 46416 56086 58020 69624 77360 84129 87030 112172 116040 139248 140215 168258 174060 224344 232080 252387 280430 336516 348120 420645 448688 504774 560860 673032 696240 841290 1009548 1121720 1261935 1346064 1682580 2019096 2243440 2523870 3365160 4038192 5047740 6730320 10095480 20190960