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1076923845 = 32529825229
BaseRepresentation
bin100000000110000…
…1000110111000101
32210001102101210100
41000030020313011
54201143030340
6254510114313
735454462444
oct10014106705
92701371710
101076923845
11502993908
122607ab999
1314216135a
14a3052d5b
1564828830
hex40308dc5

1076923845 has 24 divisors (see below), whose sum is σ = 1931038200. Its totient is φ = 554553216.

The previous prime is 1076923843. The next prime is 1076923867. The reversal of 1076923845 is 5483296701.

1076923845 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6260004 + 1070663841 = 2502^2 + 32721^2 .

It is not a de Polignac number, because 1076923845 - 21 = 1076923843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1076923845 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1076923845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076923843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411310 + ... + 413919.

It is an arithmetic number, because the mean of its divisors is an integer number (80459925).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1076923845 = 2153847690, but 3⋅1076923845 = 3230771535 is not.

Almost surely, 21076923845 is an apocalyptic number.

1076923845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1076923845 is a deficient number, since it is larger than the sum of its proper divisors (854114355).

1076923845 is a wasteful number, since it uses less digits than its factorization.

1076923845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825269 (or 825266 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1076923845 is about 32816.5178682931. The cubic root of 1076923845 is about 1025.0105396497.

The spelling of 1076923845 in words is "one billion, seventy-six million, nine hundred twenty-three thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 825229 2475687 4126145 7427061 12378435 23931641 37135305 71794923 119658205 215384769 358974615 1076923845