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16145406 = 235139239
BaseRepresentation
bin111101100101…
…101111111110
31010101021100000
4331211233332
513113123111
61334015130
7254143104
oct75455776
933337300
1016145406
119128312
1254a74a6
133463ac4
142203c74
15163dc56
hexf65bfe

16145406 has 48 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 5320728.

The previous prime is 16145369. The next prime is 16145411. The reversal of 16145406 is 60454161.

16145406 is a `hidden beast` number, since 1 + 614 + 5 + 40 + 6 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16145406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67435 + ... + 67673.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 216145406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16145406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

16145406 is an abundant number, since it is smaller than the sum of its proper divisors (20545794).

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

16145406 is a wasteful number, since it uses less digits than its factorization.

16145406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 16145406 is about 4018.1346418456. The cubic root of 16145406 is about 252.7452428905.

Adding to 16145406 its reverse (60454161), we get a palindrome (76599567).

The spelling of 16145406 in words is "sixteen million, one hundred forty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 239 243 278 417 478 486 717 834 1251 1434 2151 2502 3753 4302 6453 7506 11259 12906 19359 22518 33221 33777 38718 58077 66442 67554 99663 116154 199326 298989 597978 896967 1793934 2690901 5381802 8072703 16145406