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1352885760 = 2933523237
BaseRepresentation
bin101000010100011…
…0110011000000000
310111021200201101000
41100220312120000
510232314321020
6342125012000
745345224232
oct12050663000
93437621330
101352885760
1163473a106
123190b4000
13187393a25
14cb96a252
157db8a090
hex50a36600

1352885760 has 480 divisors, whose sum is σ = 5159357280. Its totient is φ = 335757312.

The previous prime is 1352885719. The next prime is 1352885761. The reversal of 1352885760 is 675882531.

1352885760 is a `hidden beast` number, since 13 + 528 + 8 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13528857602 = 3660599759221555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352885761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36564462 + ... + 36564498.

It is an arithmetic number, because the mean of its divisors is an integer number (10748661).

Almost surely, 21352885760 is an apocalyptic number.

1352885760 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 1352885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579678640).

1352885760 is an abundant number, since it is smaller than the sum of its proper divisors (3806471520).

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

1352885760 is an equidigital number, since it uses as much as digits as its factorization.

1352885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1352885760 is about 36781.5953976986. The cubic root of 1352885760 is about 1105.9963877117.

The spelling of 1352885760 in words is "one billion, three hundred fifty-two million, eight hundred eighty-five thousand, seven hundred sixty".