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10193337 = 337114903
BaseRepresentation
bin100110111000…
…100110111001
3201011212122000
4212320212321
510102141322
61002251213
7152433120
oct46704671
921155560
1010193337
115832450
1234b6b09
13215b87b
1414d4ab7
15d653ac
hex9b89b9

10193337 has 32 divisors (see below), whose sum is σ = 18831360. Its totient is φ = 5294160.

The previous prime is 10193317. The next prime is 10193357. The reversal of 10193337 is 73339101.

10193337 is digitally balanced in base 3, 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 (10193317) and next prime (10193357).

It is not a de Polignac number, because 10193337 - 26 = 10193273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10193337.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10193317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373 + ... + 4530.

It is an arithmetic number, because the mean of its divisors is an integer number (588480).

Almost surely, 210193337 is an apocalyptic number.

It is an amenable number.

10193337 is a deficient number, since it is larger than the sum of its proper divisors (8638023).

10193337 is a wasteful number, since it uses less digits than its factorization.

10193337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The square root of 10193337 is about 3192.7005810129. The cubic root of 10193337 is about 216.8230557966.

It can be divided in two parts, 1019 and 3337, that added together give a square (4356 = 662).

The spelling of 10193337 in words is "ten million, one hundred ninety-three thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 4903 14709 34321 44127 53933 102963 132381 161799 308889 377531 485397 926667 1132593 1456191 3397779 10193337