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390112821 = 33717235279
BaseRepresentation
bin10111010000001…
…010011000110101
31000012001210012000
4113100022120311
51244332102241
6102413245513
712444622110
oct2720123065
91005053160
10390112821
1119023259a
12aa793899
1362a8c1b7
1439b4d577
15243adeb6
hex1740a635

390112821 has 64 divisors (see below), whose sum is σ = 729907200. Its totient is φ = 200648448.

The previous prime is 390112819. The next prime is 390112841. The reversal of 390112821 is 128211093.

It is not a de Polignac number, because 390112821 - 21 = 390112819 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390112841) 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 63 ways as a sum of consecutive naturals, for example, 71260 + ... + 76538.

It is an arithmetic number, because the mean of its divisors is an integer number (11404800).

Almost surely, 2390112821 is an apocalyptic number.

It is an amenable number.

390112821 is a deficient number, since it is larger than the sum of its proper divisors (339794379).

390112821 is a wasteful number, since it uses less digits than its factorization.

390112821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 390112821 is about 19751.2739082825. The cubic root of 390112821 is about 730.6848024450.

The spelling of 390112821 in words is "three hundred ninety million, one hundred twelve thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 17 21 23 27 51 63 69 119 153 161 189 207 357 391 459 483 621 1071 1173 1449 2737 3213 3519 4347 5279 8211 10557 15837 24633 36953 47511 73899 89743 110859 121417 142533 269229 332577 364251 628201 807687 849919 997731 1092753 1884603 2064089 2423061 2549757 3278259 5653809 6192267 7649271 14448623 16961427 18576801 22947813 43345869 55730403 130037607 390112821