Search a number
-
+
20355132 = 2237713413
BaseRepresentation
bin100110110100…
…1100000111100
31102022010222210
41031221200330
520202331012
62004140420
7335005260
oct115514074
942263883
1020355132
1110543126
126997710
1342a8c75
1429bc0a0
151bc123c
hex136983c

20355132 has 48 divisors (see below), whose sum is σ = 55060992. Its totient is φ = 5732160.

The previous prime is 20355121. The next prime is 20355133. The reversal of 20355132 is 23155302.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20355099 and 20355108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20355133) 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, 4258 + ... + 7670.

It is an arithmetic number, because the mean of its divisors is an integer number (1147104).

Almost surely, 220355132 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 20355132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27530496).

20355132 is an abundant number, since it is smaller than the sum of its proper divisors (34705860).

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

20355132 is a wasteful number, since it uses less digits than its factorization.

20355132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 20355132 is about 4511.6662110577. Note that the first 3 decimals coincide. The cubic root of 20355132 is about 273.0389725520.

The spelling of 20355132 in words is "twenty million, three hundred fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 3413 5964 6826 10239 13652 20478 23891 40956 47782 71673 95564 143346 242323 286692 484646 726969 969292 1453938 1696261 2907876 3392522 5088783 6785044 10177566 20355132