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390962106 = 233431371229
BaseRepresentation
bin10111010011011…
…001101110111010
31000020122221012000
4113103121232322
51300041241411
6102443401430
712455060133
oct2723315672
91006587160
10390962106
11190762687
12aab23276
1362cc8932
1439cd0c8a
15244ca956
hex174d9bba

390962106 has 64 divisors (see below), whose sum is σ = 896227200. Its totient is φ = 126258048.

The previous prime is 390962093. The next prime is 390962113. The reversal of 390962106 is 601269093.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317500 + ... + 318728.

It is an arithmetic number, because the mean of its divisors is an integer number (14003550).

Almost surely, 2390962106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390962106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448113600).

390962106 is an abundant number, since it is smaller than the sum of its proper divisors (505265094).

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

390962106 is a wasteful number, since it uses less digits than its factorization.

390962106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 390962106 is about 19772.7617190923. The cubic root of 390962106 is about 731.2146575950.

The spelling of 390962106 in words is "three hundred ninety million, nine hundred sixty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 137 258 274 387 411 774 822 1161 1229 1233 2322 2458 2466 3687 3699 5891 7374 7398 11061 11782 17673 22122 33183 35346 52847 53019 66366 105694 106038 158541 159057 168373 317082 318114 336746 475623 505119 951246 1010238 1426869 1515357 2853738 3030714 4546071 7240039 9092142 14480078 21720117 43440234 65160351 130320702 195481053 390962106