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16157106 = 23271719397
BaseRepresentation
bin111101101000…
…100110110010
31010101212101100
4331220212302
513114011411
61334145230
7254222160
oct75504662
933355340
1016157106
119136089
1254b2216
133469224
142208230
151642456
hexf689b2

16157106 has 96 divisors (see below), whose sum is σ = 44703360. Its totient is φ = 4105728.

The previous prime is 16157101. The next prime is 16157111. The reversal of 16157106 is 60175161.

It is an interprime number because it is at equal distance from previous prime (16157101) and next prime (16157111).

It is a super-2 number, since 2×161571062 = 522104148590472, which contains 22 as substring.

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 16157106.

It is not an unprimeable number, because it can be changed into a prime (16157101) 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 47 ways as a sum of consecutive naturals, for example, 40500 + ... + 40896.

It is an arithmetic number, because the mean of its divisors is an integer number (465660).

Almost surely, 216157106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16157106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22351680).

16157106 is an abundant number, since it is smaller than the sum of its proper divisors (28546254).

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

16157106 is a wasteful number, since it uses less digits than its factorization.

16157106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 16157106 is about 4019.5902776278. The cubic root of 16157106 is about 252.8062799707.

The spelling of 16157106 in words is "sixteen million, one hundred fifty-seven thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 397 399 646 714 794 798 969 1071 1191 1197 1938 2142 2261 2382 2394 2779 2907 3573 4522 5558 5814 6749 6783 7146 7543 8337 13498 13566 15086 16674 20247 20349 22629 25011 40494 40698 45258 47243 50022 52801 60741 67887 94486 105602 121482 128231 135774 141729 158403 256462 283458 316806 384693 425187 475209 769386 850374 897617 950418 1154079 1795234 2308158 2692851 5385702 8078553 16157106