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70023000 = 23353171373
BaseRepresentation
bin1000010110001…
…11011101011000
311212202112111110
410023013131120
5120411214000
610540500320
71510120455
oct413073530
9155675443
1070023000
1136587353
121b54a6a0
1311679138
14942a82c
156232850
hex42c7758

70023000 has 128 divisors (see below), whose sum is σ = 231491520. Its totient is φ = 17561600.

The previous prime is 70022959. The next prime is 70023001. The reversal of 70023000 is 32007.

It is a super-3 number, since 3×700230003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70023001) 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, 50314 + ... + 51686.

Almost surely, 270023000 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 70023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115745760).

70023000 is an abundant number, since it is smaller than the sum of its proper divisors (161468520).

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

70023000 is a wasteful number, since it uses less digits than its factorization.

70023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 70023000 is about 8367.9746653536. The cubic root of 70023000 is about 412.1736629247.

Adding to 70023000 its reverse (32007), we get a palindrome (70055007).

The spelling of 70023000 in words is "seventy million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 125 136 150 170 200 204 250 255 300 340 375 408 425 500 510 600 680 750 850 1000 1020 1275 1373 1500 1700 2040 2125 2550 2746 3000 3400 4119 4250 5100 5492 6375 6865 8238 8500 10200 10984 12750 13730 16476 17000 20595 23341 25500 27460 32952 34325 41190 46682 51000 54920 68650 70023 82380 93364 102975 116705 137300 140046 164760 171625 186728 205950 233410 274600 280092 343250 350115 411900 466820 514875 560184 583525 686500 700230 823800 933640 1029750 1167050 1373000 1400460 1750575 2059500 2334100 2800920 2917625 3501150 4119000 4668200 5835250 7002300 8752875 11670500 14004600 17505750 23341000 35011500 70023000