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170106112 = 2811292083
BaseRepresentation
bin10100010001110…
…01110100000000
3102212002021201101
422020321310000
5322021343422
624513544144
74133610121
oct1210716400
9385067641
10170106112
1188025270
1248b75054
132931b707
1418840048
15ee01c27
hexa239d00

170106112 has 72 divisors (see below), whose sum is σ = 383372640. Its totient is φ = 74618880.

The previous prime is 170106109. The next prime is 170106121. The reversal of 170106112 is 211601071.

170106112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 170106112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80623 + ... + 82705.

It is an arithmetic number, because the mean of its divisors is an integer number (5324620).

Almost surely, 2170106112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191686320).

170106112 is an abundant number, since it is smaller than the sum of its proper divisors (213266528).

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

170106112 is a wasteful number, since it uses less digits than its factorization.

170106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 170106112 is about 13042.4733850601. The cubic root of 170106112 is about 554.0810613529.

Adding to 170106112 its reverse (211601071), we get a palindrome (381707183).

The spelling of 170106112 in words is "one hundred seventy million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 638 704 928 1276 1408 1856 2083 2552 2816 3712 4166 5104 7424 8332 10208 16664 20416 22913 33328 40832 45826 60407 66656 81664 91652 120814 133312 183304 241628 266624 366608 483256 533248 664477 733216 966512 1328954 1466432 1933024 2657908 2932864 3866048 5315816 5865728 7732096 10631632 15464192 21263264 42526528 85053056 170106112