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1073978136 = 2333711312083
BaseRepresentation
bin100000000000011…
…1001101100011000
32202211212202001000
41000000321230120
54144414300021
6254323025000
735420443410
oct10000715430
92684782030
101073978136
11501261740
1225b80b160
1314166c62a
14a28c7640
1564445b26
hex40039b18

1073978136 has 256 divisors, whose sum is σ = 3841228800. Its totient is φ = 269827200.

The previous prime is 1073978131. The next prime is 1073978137. The reversal of 1073978136 is 6318793701.

It is a junction number, because it is equal to n+sod(n) for n = 1073978091 and 1073978100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073978131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514551 + ... + 516633.

It is an arithmetic number, because the mean of its divisors is an integer number (15004800).

Almost surely, 21073978136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073978136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920614400).

1073978136 is an abundant number, since it is smaller than the sum of its proper divisors (2767250664).

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

1073978136 is a wasteful number, since it uses less digits than its factorization.

1073978136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2137 counting only the distinct ones).

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

The square root of 1073978136 is about 32771.6056365873. The cubic root of 1073978136 is about 1024.0751160514.

The spelling of 1073978136 in words is "one billion, seventy-three million, nine hundred seventy-eight thousand, one hundred thirty-six".