Search a number
-
+
20202144 = 2531271657
BaseRepresentation
bin100110100010…
…0001010100000
31102000101010120
41031010022200
520132432034
62001000240
7333500244
oct115041240
942011116
1020202144
1110449196
126923080
134254441
14297c424
151b90c49
hex13442a0

20202144 has 48 divisors (see below), whose sum is σ = 53480448. Its totient is φ = 6676992.

The previous prime is 20202113. The next prime is 20202167. The reversal of 20202144 is 44120202.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11364 + ... + 13020.

It is an arithmetic number, because the mean of its divisors is an integer number (1114176).

Almost surely, 220202144 is an apocalyptic number.

20202144 is a gapful number since it is divisible by the number (24) 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 20202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26740224).

20202144 is an abundant number, since it is smaller than the sum of its proper divisors (33278304).

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

20202144 is a wasteful number, since it uses less digits than its factorization.

20202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20202144 is about 4494.6795213897. The cubic root of 20202144 is about 272.3532032056.

Adding to 20202144 its reverse (44120202), we get a palindrome (64322346).

The spelling of 20202144 in words is "twenty million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 1657 2032 3048 3314 4064 4971 6096 6628 9942 12192 13256 19884 26512 39768 53024 79536 159072 210439 420878 631317 841756 1262634 1683512 2525268 3367024 5050536 6734048 10101072 20202144