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1083002004 = 223274297627
BaseRepresentation
bin100000010001101…
…0100110010010100
32210110212012110100
41000203110302110
54204222031004
6255244254100
735560236150
oct10043246224
92713765410
101083002004
11506365487
12262841330
131434abab6
14a3b96060
1565129739
hex408d4c94

1083002004 has 36 divisors (see below), whose sum is σ = 3128673184. Its totient is φ = 309429072.

The previous prime is 1083001981. The next prime is 1083002009. The reversal of 1083002004 is 4002003801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083002009) 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 11 ways as a sum of consecutive naturals, for example, 2148562 + ... + 2149065.

Almost surely, 21083002004 is an apocalyptic number.

1083002004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1083002004 is an abundant number, since it is smaller than the sum of its proper divisors (2045671180).

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

1083002004 is a wasteful number, since it uses less digits than its factorization.

1083002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297644 (or 4297639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1083002004 is about 32908.9957914246. The cubic root of 1083002004 is about 1026.9353097990.

Adding to 1083002004 its reverse (4002003801), we get a palindrome (5085005805).

The spelling of 1083002004 in words is "one billion, eighty-three million, two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4297627 8595254 12892881 17190508 25785762 30083389 38678643 51571524 60166778 77357286 90250167 120333556 154714572 180500334 270750501 361000668 541501002 1083002004