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20040192 = 29324349
BaseRepresentation
bin100110001110…
…0101000000000
31101201010222100
41030130220000
520112241232
61553310400
7332224134
oct114345000
941633870
1020040192
1110348547
126865400
1341c8803
1429393c4
151b5cc7c
hex131ca00

20040192 has 60 divisors (see below), whose sum is σ = 57850650. Its totient is φ = 6678528.

The previous prime is 20040191. The next prime is 20040197. The reversal of 20040192 is 29104002.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 112896 = 4464^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20040191) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2434 + ... + 6782.

Almost surely, 220040192 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 20040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28925325).

20040192 is an abundant number, since it is smaller than the sum of its proper divisors (37810458).

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

20040192 is an equidigital number, since it uses as much as digits as its factorization.

20040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4373 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20040192 is about 4476.6273018870. The cubic root of 20040192 is about 271.6234697817.

Adding to 20040192 its reverse (29104002), we get a palindrome (49144194).

The spelling of 20040192 in words is "twenty million, forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4349 4608 8698 13047 17396 26094 34792 39141 52188 69584 78282 104376 139168 156564 208752 278336 313128 417504 556672 626256 835008 1113344 1252512 1670016 2226688 2505024 3340032 5010048 6680064 10020096 20040192