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1072997640 = 233251113191097
BaseRepresentation
bin111111111101001…
…010010100001000
32202210000221001100
4333331022110020
54144141411030
6254250021400
735406221001
oct7775122410
92683027040
101072997640
11500752010
1225b417860
131413b8260
14a27101a8
1564300360
hex3ff4a508

1072997640 has 384 divisors, whose sum is σ = 4316457600. Its totient is φ = 227266560.

The previous prime is 1072997623. The next prime is 1072997647. The reversal of 1072997640 is 467992701.

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

It is not an unprimeable number, because it can be changed into a prime (1072997647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 977572 + ... + 978668.

It is an arithmetic number, because the mean of its divisors is an integer number (11240775).

Almost surely, 21072997640 is an apocalyptic number.

1072997640 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 1072997640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158228800).

1072997640 is an abundant number, since it is smaller than the sum of its proper divisors (3243459960).

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

1072997640 is a wasteful number, since it uses less digits than its factorization.

1072997640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1072997640 is about 32756.6426851105. The cubic root of 1072997640 is about 1023.7633756029.

The spelling of 1072997640 in words is "one billion, seventy-two million, nine hundred ninety-seven thousand, six hundred forty".