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20189832 = 23313163397
BaseRepresentation
bin100110100000…
…1001010001000
31101222202020120
41031001022020
520132033312
62000423240
7333416325
oct115011210
941882216
1020189832
111043aa13
126917b20
13424b960
142977b4c
151b8c28c
hex1341288

20189832 has 64 divisors (see below), whose sum is σ = 54828480. Its totient is φ = 6158592.

The previous prime is 20189831. The next prime is 20189843. The reversal of 20189832 is 23898102.

It is a junction number, because it is equal to n+sod(n) for n = 20189793 and 20189802.

It is not an unprimeable number, because it can be changed into a prime (20189831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50658 + ... + 51054.

It is an arithmetic number, because the mean of its divisors is an integer number (856695).

Almost surely, 220189832 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 20189832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27414240).

20189832 is an abundant number, since it is smaller than the sum of its proper divisors (34638648).

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

20189832 is a wasteful number, since it uses less digits than its factorization.

20189832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 20189832 is about 4493.3096933107. The cubic root of 20189832 is about 272.2978642927.

It can be divided in two parts, 201898 and 32, that added together give a triangular number (201930 = T635).

The spelling of 20189832 in words is "twenty million, one hundred eighty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 163 312 326 397 489 652 794 978 1191 1304 1588 1956 2119 2382 3176 3912 4238 4764 5161 6357 8476 9528 10322 12714 15483 16952 20644 25428 30966 41288 50856 61932 64711 123864 129422 194133 258844 388266 517688 776532 841243 1553064 1682486 2523729 3364972 5047458 6729944 10094916 20189832