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8192140 = 22511231619
BaseRepresentation
bin11111010000000010001100
3120102012111121
4133100002030
54044122030
6451330324
7126426535
oct37200214
916365447
108192140
114695970
1228b09a4
13190aa28
14113368c
15abc47a
hex7d008c

8192140 has 48 divisors (see below), whose sum is σ = 19595520. Its totient is φ = 2847680.

The previous prime is 8192111. The next prime is 8192141. The reversal of 8192140 is 412918.

It is a happy number.

It is a super-2 number, since 2×81921402 = 134222315559200, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (8192141) 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, 4251 + ... + 5869.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 28192140 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 8192140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797760).

8192140 is an abundant number, since it is smaller than the sum of its proper divisors (11403380).

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

8192140 is a wasteful number, since it uses less digits than its factorization.

8192140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 8192140 is about 2862.1914680887. The cubic root of 8192140 is about 201.5885163422.

The spelling of 8192140 in words is "eight million, one hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 1619 2530 3238 5060 6476 8095 16190 17809 32380 35618 37237 71236 74474 89045 148948 178090 186185 356180 372370 409607 744740 819214 1638428 2048035 4096070 8192140