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110804004 = 22334783263
BaseRepresentation
bin1101001101010…
…11110000100100
321201111102112000
412212223300210
5211331212004
614554525300
72513550513
oct646536044
9251442460
10110804004
1157600763
1231136830
1319c572cc
1410a0467a
159adac39
hex69abc24

110804004 has 96 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 35577504.

The previous prime is 110804003. The next prime is 110804009. The reversal of 110804004 is 400408011.

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 (110804003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421177 + ... + 421439.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2110804004 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 110804004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

110804004 is an abundant number, since it is smaller than the sum of its proper divisors (187241436).

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

110804004 is a wasteful number, since it uses less digits than its factorization.

110804004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 110804004 is about 10526.3480846873. The cubic root of 110804004 is about 480.3065229660.

The spelling of 110804004 in words is "one hundred ten million, eight hundred four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 83 94 108 141 166 188 249 263 282 332 423 498 526 564 747 789 846 996 1052 1269 1494 1578 1692 2241 2367 2538 2988 3156 3901 4482 4734 5076 7101 7802 8964 9468 11703 12361 14202 15604 21829 23406 24722 28404 35109 37083 43658 46812 49444 65487 70218 74166 87316 105327 111249 130974 140436 148332 196461 210654 222498 261948 333747 392922 421308 444996 589383 667494 785844 1025963 1178766 1334988 2051926 2357532 3077889 4103852 6155778 9233667 12311556 18467334 27701001 36934668 55402002 110804004