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20196960 = 253576011
BaseRepresentation
bin100110100001…
…0111001100000
31102000010000120
41031002321200
520132300320
62000520240
7333446160
oct115027140
942003016
1020196960
1110445303
126920080
134251c84
14297a5a0
151b8e440
hex1342e60

20196960 has 96 divisors (see below), whose sum is σ = 72721152. Its totient is φ = 4615680.

The previous prime is 20196923. The next prime is 20196973. The reversal of 20196960 is 6969102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355 + ... + 6365.

It is an arithmetic number, because the mean of its divisors is an integer number (757512).

Almost surely, 220196960 is an apocalyptic number.

20196960 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 20196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36360576).

20196960 is an abundant number, since it is smaller than the sum of its proper divisors (52524192).

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

20196960 is a wasteful number, since it uses less digits than its factorization.

20196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 20196960 is about 4494.1028025625. The cubic root of 20196960 is about 272.3299053519.

The spelling of 20196960 in words is "twenty million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 6011 12022 18033 24044 30055 36066 42077 48088 60110 72132 84154 90165 96176 120220 126231 144264 168308 180330 192352 210385 240440 252462 288528 336616 360660 420770 480880 504924 577056 631155 673232 721320 841540 961760 1009848 1262310 1346464 1442640 1683080 2019696 2524620 2885280 3366160 4039392 5049240 6732320 10098480 20196960