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70452720 = 24335132193
BaseRepresentation
bin1000011001100…
…00010111110000
311220120100222000
410030300113300
5121013441340
610554014000
71513560342
oct414602760
9156510860
1070452720
1136850198
121b717300
1311799900
1494dd292
1562b9d30
hex43305f0

70452720 has 240 divisors, whose sum is σ = 264134880. Its totient is φ = 17252352.

The previous prime is 70452691. The next prime is 70452727. The reversal of 70452720 is 2725407.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70452727) 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 47 ways as a sum of consecutive naturals, for example, 364944 + ... + 365136.

It is an arithmetic number, because the mean of its divisors is an integer number (1100562).

Almost surely, 270452720 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 70452720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132067440).

70452720 is an abundant number, since it is smaller than the sum of its proper divisors (193682160).

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

70452720 is a wasteful number, since it uses less digits than its factorization.

70452720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 70452720 is about 8393.6118566443. The cubic root of 70452720 is about 413.0150920699.

The spelling of 70452720 in words is "seventy million, four hundred fifty-two thousand, seven hundred twenty".