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19953990 = 23257191667
BaseRepresentation
bin100110000011…
…1100101000110
31101112202201200
41030013211012
520102011430
61551403330
7331414620
oct114074506
941482650
1019953990
1110299801
126823546
1341984c4
142915c10
151b42460
hex1307946

19953990 has 96 divisors (see below), whose sum is σ = 62449920. Its totient is φ = 4318272.

The previous prime is 19953979. The next prime is 19954027. The reversal of 19953990 is 9935991.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 11137 + ... + 12803.

It is an arithmetic number, because the mean of its divisors is an integer number (650520).

Almost surely, 219953990 is an apocalyptic number.

19953990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19953990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31224960).

19953990 is an abundant number, since it is smaller than the sum of its proper divisors (42495930).

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

19953990 is a wasteful number, since it uses less digits than its factorization.

19953990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 98415, while the sum is 45.

The square root of 19953990 is about 4466.9889187237. The cubic root of 19953990 is about 271.2334512475.

The spelling of 19953990 in words is "nineteen million, nine hundred fifty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1667 1710 1995 2394 3334 3990 5001 5985 8335 10002 11669 11970 15003 16670 23338 25005 30006 31673 35007 50010 58345 63346 70014 75015 95019 105021 116690 150030 158365 175035 190038 210042 221711 285057 316730 350070 443422 475095 525105 570114 665133 950190 1050210 1108555 1330266 1425285 1995399 2217110 2850570 3325665 3990798 6651330 9976995 19953990