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1352070720 = 2632572111367
BaseRepresentation
bin101000010010110…
…1111011001000000
310111020011022100100
41100211233121000
510232112230340
6342055322400
745335261100
oct12045573100
93436138310
101352070720
11634232820
12318980400
13187169a60
14cb7d7200
157da78830
hex5096f640

1352070720 has 1008 divisors, whose sum is σ = 6450470208. Its totient is φ = 255467520.

The previous prime is 1352070719. The next prime is 1352070721. The reversal of 1352070720 is 270702531.

1352070720 is a `hidden beast` number, since 1 + 3 + 520 + 70 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1352070719) and next prime (1352070721).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352070721) 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 143 ways as a sum of consecutive naturals, for example, 20180127 + ... + 20180193.

It is an arithmetic number, because the mean of its divisors is an integer number (6399276).

Almost surely, 21352070720 is an apocalyptic number.

1352070720 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 1352070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225235104).

1352070720 is an abundant number, since it is smaller than the sum of its proper divisors (5098399488).

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

1352070720 is a wasteful number, since it uses less digits than its factorization.

1352070720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 1352070720 is about 36770.5142743476. The cubic root of 1352070720 is about 1105.7742422297.

The spelling of 1352070720 in words is "one billion, three hundred fifty-two million, seventy thousand, seven hundred twenty".