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1940863680 = 26345719563
BaseRepresentation
bin111001110101111…
…0011101011000000
312000021002002110000
41303223303223000
512433330114210
6520331240000
766045032460
oct16353635300
95007062400
101940863680
11906626678
12461ba9000
1324c140562
14145aa3ba0
15b55d0ac0
hex73af3ac0

1940863680 has 560 divisors, whose sum is σ = 8320308480. Its totient is φ = 419530752.

The previous prime is 1940863679. The next prime is 1940863681. The reversal of 1940863680 is 863680491.

1940863680 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 8 + 636 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1940863679) and next prime (1940863681).

It is a tau number, because it is divible by the number of its divisors (560).

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 (1940863681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3447079 + ... + 3447641.

Almost surely, 21940863680 is an apocalyptic number.

1940863680 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 1940863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160154240).

1940863680 is an abundant number, since it is smaller than the sum of its proper divisors (6379444800).

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

1940863680 is a wasteful number, since it uses less digits than its factorization.

1940863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1940863680 is about 44055.2344222568. The cubic root of 1940863680 is about 1247.3787588514.

The spelling of 1940863680 in words is "one billion, nine hundred forty million, eight hundred sixty-three thousand, six hundred eighty".