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110482000 = 2453371493
BaseRepresentation
bin1101001010111…
…01001001010000
321200220001210221
412211131021100
5211240411000
614544002424
72511036646
oct645351120
9250801727
10110482000
1157400842
1231000414
1319b73885
141095d196
159a7561a
hex695d250

110482000 has 80 divisors (see below), whose sum is σ = 274549392. Its totient is φ = 42969600.

The previous prime is 110481991. The next prime is 110482033. The reversal of 110482000 is 284011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3069504 + 107412496 = 1752^2 + 10364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73254 + ... + 74746.

Almost surely, 2110482000 is an apocalyptic number.

110482000 is a gapful number since it is divisible by the number (10) 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 110482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137274696).

110482000 is an abundant number, since it is smaller than the sum of its proper divisors (164067392).

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

110482000 is a wasteful number, since it uses less digits than its factorization.

110482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 110482000 is about 10511.0418132552. The cubic root of 110482000 is about 479.8408036884.

The spelling of 110482000 in words is "one hundred ten million, four hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1493 1850 2000 2960 2986 3700 4625 5972 7400 7465 9250 11944 14800 14930 18500 23888 29860 37000 37325 55241 59720 74000 74650 110482 119440 149300 186625 220964 276205 298600 373250 441928 552410 597200 746500 883856 1104820 1381025 1493000 2209640 2762050 2986000 4419280 5524100 6905125 11048200 13810250 22096400 27620500 55241000 110482000