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10073208 = 2332941353
BaseRepresentation
bin100110011011…
…010001111000
3200221202211210
4212123101320
510034320313
6555523120
7151422645
oct46332170
920852753
1010073208
115760172
1234594a0
132118ca2
1414a2dcc
15d3e9c3
hex99b478

10073208 has 64 divisors (see below), whose sum is σ = 26762400. Its totient is φ = 3153920.

The previous prime is 10073207. The next prime is 10073209. The reversal of 10073208 is 80237001.

10073208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10073207) and next prime (10073209).

It is a super-2 number, since 2×100732082 = 202939038822528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28360 + ... + 28712.

Almost surely, 210073208 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 10073208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381200).

10073208 is an abundant number, since it is smaller than the sum of its proper divisors (16689192).

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

10073208 is a wasteful number, since it uses less digits than its factorization.

10073208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10073208 is about 3173.8317535748. The cubic root of 10073208 is about 215.9679307671.

The spelling of 10073208 in words is "ten million, seventy-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 353 492 696 706 984 1059 1189 1412 2118 2378 2824 3567 4236 4756 7134 8472 9512 10237 14268 14473 20474 28536 28946 30711 40948 43419 57892 61422 81896 86838 115784 122844 173676 245688 347352 419717 839434 1259151 1678868 2518302 3357736 5036604 10073208