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16130106 = 23231137211
BaseRepresentation
bin111101100010…
…000000111010
31010100111100100
4331202000322
513112130411
61333420230
7254050356
oct75420072
933314310
1016130106
119117873
12549a676
133459b55
1421dc466
151639456
hexf6203a

16130106 has 48 divisors (see below), whose sum is σ = 36511488. Its totient is φ = 5140800.

The previous prime is 16130099. The next prime is 16130111. The reversal of 16130106 is 60103161.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76341 + ... + 76551.

It is an arithmetic number, because the mean of its divisors is an integer number (760656).

Almost surely, 216130106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16130106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255744).

16130106 is an abundant number, since it is smaller than the sum of its proper divisors (20381382).

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

16130106 is a wasteful number, since it uses less digits than its factorization.

16130106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16130106 is about 4016.2303220806. The cubic root of 16130106 is about 252.6653806608.

Adding to 16130106 its reverse (60103161), we get a palindrome (76233267).

The spelling of 16130106 in words is "sixteen million, one hundred thirty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 137 186 211 274 279 411 422 558 633 822 1233 1266 1899 2466 3798 4247 6541 8494 12741 13082 19623 25482 28907 38223 39246 57814 58869 76446 86721 117738 173442 260163 520326 896117 1792234 2688351 5376702 8065053 16130106