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1073640960 = 2933572317
BaseRepresentation
bin111111111111100…
…111011000000000
32202211020121112000
4333333213120000
54144323002320
6254311504000
735414540400
oct7777473000
92684217460
101073640960
11501051387
1225b688000
13141582012
14a283a800
15643cac90
hex3ffe7600

1073640960 has 480 divisors, whose sum is σ = 4450295520. Its totient is φ = 244629504.

The previous prime is 1073640917. The next prime is 1073640973. The reversal of 1073640960 is 690463701.

1073640960 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 640 + 9 + 6 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386722 + ... + 3387038.

It is an arithmetic number, because the mean of its divisors is an integer number (9271449).

Almost surely, 21073640960 is an apocalyptic number.

1073640960 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 1073640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225147760).

1073640960 is an abundant number, since it is smaller than the sum of its proper divisors (3376654560).

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

1073640960 is an equidigital number, since it uses as much as digits as its factorization.

1073640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1073640960 is about 32766.4609013546. The cubic root of 1073640960 is about 1023.9679351939.

The spelling of 1073640960 in words is "one billion, seventy-three million, six hundred forty thousand, nine hundred sixty".