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975035136 = 28317223191
BaseRepresentation
bin111010000111011…
…101101100000000
32111221200220202110
4322013131230000
53444102111021
6240430215320
733106443015
oct7207355400
92457626673
10975035136
11460422369
12232654540
13127008c8a
14936cd70c
155a8ee476
hex3a1ddb00

975035136 has 216 divisors, whose sum is σ = 2891556864. Its totient is φ = 291061760.

The previous prime is 975035111. The next prime is 975035147. The reversal of 975035136 is 631530579.

It is a junction number, because it is equal to n+sod(n) for n = 975035094 and 975035103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5104801 + ... + 5104991.

Almost surely, 2975035136 is an apocalyptic number.

975035136 is a gapful number since it is divisible by the number (96) 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 975035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445778432).

975035136 is an abundant number, since it is smaller than the sum of its proper divisors (1916521728).

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

975035136 is a wasteful number, since it uses less digits than its factorization.

975035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 975035136 is about 31225.5526132045. The cubic root of 975035136 is about 991.6081525565.

The spelling of 975035136 in words is "nine hundred seventy-five million, thirty-five thousand, one hundred thirty-six".