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10072983 = 319271131
BaseRepresentation
bin100110011011…
…001110010111
3200221202112110
4212123032113
510034313413
6555522103
7151422204
oct46331627
920852473
1010072983
11575aa88
123459333
132118b5b
1414a2cab
15d3e8c3
hex99b397

10072983 has 24 divisors (see below), whose sum is σ = 14484096. Its totient is φ = 6224400.

The previous prime is 10072973. The next prime is 10072999. The reversal of 10072983 is 38927001.

It is a happy number.

It is not a de Polignac number, because 10072983 - 24 = 10072967 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10072983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76828 + ... + 76958.

It is an arithmetic number, because the mean of its divisors is an integer number (603504).

Almost surely, 210072983 is an apocalyptic number.

10072983 is a deficient number, since it is larger than the sum of its proper divisors (4411113).

10072983 is a wasteful number, since it uses less digits than its factorization.

10072983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10072983 is about 3173.7963072636. The cubic root of 10072983 is about 215.9663227674.

Adding to 10072983 its reverse (38927001), we get a palindrome (48999984).

The spelling of 10072983 in words is "ten million, seventy-two thousand, nine hundred eighty-three".

Divisors: 1 3 19 57 71 131 213 361 393 1083 1349 2489 4047 7467 9301 25631 27903 47291 76893 141873 176719 530157 3357661 10072983