Search a number
-
+
16145172 = 223217233137
BaseRepresentation
bin111101100101…
…101100010100
31010101021000100
4331211230110
513113121142
61334014100
7254142321
oct75455424
933337010
1016145172
11912811a
1254a7330
133463974
142203b48
15163db4c
hexf65b14

16145172 has 144 divisors (see below), whose sum is σ = 47803392. Its totient is φ = 4561920.

The previous prime is 16145137. The next prime is 16145177. The reversal of 16145172 is 27154161.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16145177) 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, 436338 + ... + 436374.

It is an arithmetic number, because the mean of its divisors is an integer number (331968).

Almost surely, 216145172 is an apocalyptic number.

16145172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16145172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

16145172 is an abundant number, since it is smaller than the sum of its proper divisors (31658220).

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

16145172 is a wasteful number, since it uses less digits than its factorization.

16145172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 16145172 is about 4018.1055237512. The cubic root of 16145172 is about 252.7440218482.

It can be divided in two parts, 1614 and 5172, that added together give a triangular number (6786 = T116).

The spelling of 16145172 in words is "sixteen million, one hundred forty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 31 34 36 37 46 51 62 68 69 74 92 93 102 111 124 138 148 153 186 204 207 222 276 279 306 333 372 391 414 444 527 558 612 629 666 713 782 828 851 1054 1116 1147 1173 1258 1332 1426 1564 1581 1702 1887 2108 2139 2294 2346 2516 2553 2852 3162 3404 3441 3519 3774 4278 4588 4692 4743 5106 5661 6324 6417 6882 7038 7548 7659 8556 9486 10212 10323 11322 12121 12834 13764 14076 14467 15318 18972 19499 20646 22644 24242 25668 26381 28934 30636 36363 38998 41292 43401 48484 52762 57868 58497 72726 77996 79143 86802 105524 109089 116994 130203 145452 158286 173604 175491 218178 233988 237429 260406 316572 350982 436356 448477 474858 520812 701964 896954 949716 1345431 1793908 2690862 4036293 5381724 8072586 16145172