Search a number
-
+
20071962 = 234235387
BaseRepresentation
bin100110010010…
…0011000011010
31101202202120000
41030210120122
520114300322
61554113430
7332415561
oct114443032
941682500
1020071962
111036a3a9
12687b876
13420a101
142946bd8
151b673ac
hex132461a

20071962 has 40 divisors (see below), whose sum is σ = 46940256. Its totient is φ = 6398568.

The previous prime is 20071921. The next prime is 20071963. The reversal of 20071962 is 26917002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20071963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1033 + ... + 6419.

Almost surely, 220071962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20071962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23470128).

20071962 is an abundant number, since it is smaller than the sum of its proper divisors (26868294).

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

20071962 is a wasteful number, since it uses less digits than its factorization.

20071962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20071962 is about 4480.1743269654. The cubic root of 20071962 is about 271.7669301754.

Adding to 20071962 its reverse (26917002), we get a palindrome (46988964).

It can be divided in two parts, 2007 and 1962, that added together give a square (3969 = 632).

The spelling of 20071962 in words is "twenty million, seventy-one thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 5387 10774 16161 32322 48483 96966 123901 145449 247802 290898 371703 436347 743406 872694 1115109 2230218 3345327 6690654 10035981 20071962