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1081608192 = 21132783101
BaseRepresentation
bin100000001111000…
…0000100000000000
32210101020101111200
41000132000200000
54203342430232
6255154341200
735542342440
oct10036004000
92711211450
101081608192
115055a3275
1226228a800
13143111562
14a3912120
1564e5177c
hex40780800

1081608192 has 288 divisors, whose sum is σ = 3648939840. Its totient is φ = 302284800.

The previous prime is 1081608191. The next prime is 1081608233. The reversal of 1081608192 is 2918061801.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1081608191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10708942 + ... + 10709042.

It is an arithmetic number, because the mean of its divisors is an integer number (12669930).

Almost surely, 21081608192 is an apocalyptic number.

1081608192 is a gapful number since it is divisible by the number (12) 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 1081608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824469920).

1081608192 is an abundant number, since it is smaller than the sum of its proper divisors (2567331648).

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

1081608192 is a wasteful number, since it uses less digits than its factorization.

1081608192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1081608192 is about 32887.8122106047. The cubic root of 1081608192 is about 1026.4945690806.

Adding to 1081608192 its reverse (2918061801), we get a palindrome (3999669993).

The spelling of 1081608192 in words is "one billion, eighty-one million, six hundred eight thousand, one hundred ninety-two".