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20195616 = 253741733
BaseRepresentation
bin100110100001…
…0100100100000
31102000001011210
41031002210200
520132224431
62000510120
7333442230
oct115024440
942001153
1020195616
11104442a1
12691b340
13425148c
142979cc0
151b8dd46
hex1342920

20195616 has 96 divisors (see below), whose sum is σ = 62149248. Its totient is φ = 5621760.

The previous prime is 20195603. The next prime is 20195621. The reversal of 20195616 is 61659102.

20195616 = T769 + T770 + ... + T831.

20195616 = 1092 + 1102 + ... + 3952.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 27186 + ... + 27918.

It is an arithmetic number, because the mean of its divisors is an integer number (647388).

Almost surely, 220195616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20195616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31074624).

20195616 is an abundant number, since it is smaller than the sum of its proper divisors (41953632).

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

20195616 is a wasteful number, since it uses less digits than its factorization.

20195616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 20195616 is about 4493.9532707851. The cubic root of 20195616 is about 272.3238645168.

The spelling of 20195616 in words is "twenty million, one hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 733 861 984 1148 1312 1466 1722 1968 2199 2296 2932 3444 3936 4398 4592 5131 5864 6888 8796 9184 10262 11728 13776 15393 17592 20524 23456 27552 30053 30786 35184 41048 60106 61572 70368 82096 90159 120212 123144 164192 180318 210371 240424 246288 360636 420742 480848 492576 631113 721272 841484 961696 1262226 1442544 1682968 2524452 2885088 3365936 5048904 6731872 10097808 20195616