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19960941 = 37111317223
BaseRepresentation
bin100110000100…
…1010001101101
31101120010021010
41030021101231
520102222231
61551455433
7331444110
oct114112155
941503233
1019960941
11102a3a50
126827579
13419b710
142918577
151b44546
hex130946d

19960941 has 96 divisors (see below), whose sum is σ = 39610368. Its totient is φ = 8616960.

The previous prime is 19960909. The next prime is 19960943. The reversal of 19960941 is 14906991.

It is not a de Polignac number, because 19960941 - 25 = 19960909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 19960941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19960943) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 867856 + ... + 867878.

It is an arithmetic number, because the mean of its divisors is an integer number (412608).

Almost surely, 219960941 is an apocalyptic number.

19960941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19960941 is a deficient number, since it is larger than the sum of its proper divisors (19649427).

19960941 is a wasteful number, since it uses less digits than its factorization.

19960941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 19960941 is about 4467.7668918600. The cubic root of 19960941 is about 271.2649424403.

The spelling of 19960941 in words is "nineteen million, nine hundred sixty thousand, nine hundred forty-one".

Divisors: 1 3 7 11 13 17 21 23 33 39 51 69 77 91 119 143 161 187 221 231 253 273 289 299 357 391 429 483 561 663 759 867 897 1001 1173 1309 1547 1771 2023 2093 2431 2737 3003 3179 3289 3757 3927 4301 4641 5083 5313 6069 6279 6647 7293 8211 9537 9867 11271 12903 15249 17017 19941 22253 23023 26299 30107 35581 41327 46529 51051 55913 66759 69069 73117 78897 86411 90321 106743 123981 139587 167739 219351 259233 289289 391391 511819 604877 867867 950521 1174173 1535457 1814631 2851563 6653647 19960941