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70082400 = 2535229201
BaseRepresentation
bin1000010110101…
…01111101100000
311212212112222110
410023111331200
5120420114100
610542035320
71510455603
oct413257540
9155775873
1070082400
1136617a43
121b578b40
131169a19b
14944433a
156245250
hex42d5f60

70082400 has 72 divisors (see below), whose sum is σ = 228126024. Its totient is φ = 18688000.

The previous prime is 70082387. The next prime is 70082417. The reversal of 70082400 is 428007.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12201 + ... + 17000.

It is an arithmetic number, because the mean of its divisors is an integer number (3168417).

Almost surely, 270082400 is an apocalyptic number.

It is an amenable number.

70082400 is an abundant number, since it is smaller than the sum of its proper divisors (158043624).

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

70082400 is a wasteful number, since it uses less digits than its factorization.

70082400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29224 (or 29211 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 70082400 is about 8371.5231589001. The cubic root of 70082400 is about 412.2901779549.

The spelling of 70082400 in words is "seventy million, eighty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 29201 58402 87603 116804 146005 175206 233608 292010 350412 438015 467216 584020 700824 730025 876030 934432 1168040 1401648 1460050 1752060 2190075 2336080 2803296 2920100 3504120 4380150 4672160 5840200 7008240 8760300 11680400 14016480 17520600 23360800 35041200 70082400