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146210020 = 225111275233
BaseRepresentation
bin10001011011011…
…11110011100100
3101012010020102221
420231233303210
5244412210040
622301442124
73423523165
oct1055576344
9335106387
10146210020
1175593830
1240b70344
13243a2b08
14155bd76c
15cc8174a
hex8b6fce4

146210020 has 48 divisors (see below), whose sum is σ = 337655808. Its totient is φ = 52738560.

The previous prime is 146209993. The next prime is 146210027. The reversal of 146210020 is 20012641.

It is a junction number, because it is equal to n+sod(n) for n = 146209976 and 146210003.

It is not an unprimeable number, because it can be changed into a prime (146210027) 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, 25324 + ... + 30556.

It is an arithmetic number, because the mean of its divisors is an integer number (7034496).

Almost surely, 2146210020 is an apocalyptic number.

146210020 is a gapful number since it is divisible by the number (10) 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 146210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168827904).

146210020 is an abundant number, since it is smaller than the sum of its proper divisors (191445788).

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

146210020 is a wasteful number, since it uses less digits than its factorization.

146210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 146210020 is about 12091.7335399024. The cubic root of 146210020 is about 526.8161079598.

Adding to 146210020 its reverse (20012641), we get a palindrome (166222661).

The spelling of 146210020 in words is "one hundred forty-six million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5233 5588 6985 10466 13970 20932 26165 27940 52330 57563 104660 115126 230252 287815 575630 664591 1151260 1329182 2658364 3322955 6645910 7310501 13291820 14621002 29242004 36552505 73105010 146210020