Search a number
-
+
16397160 = 23351323457
BaseRepresentation
bin111110100011…
…001101101000
31010212001200020
4332203031220
513144202120
61343240440
7256242063
oct76431550
933761606
1016397160
11928a47a
1255a9120
133521580
14226b8da
15168d640
hexfa3368

16397160 has 128 divisors (see below), whose sum is σ = 55399680. Its totient is φ = 3852288.

The previous prime is 16397141. The next prime is 16397167. The reversal of 16397160 is 6179361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16397167) 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 31 ways as a sum of consecutive naturals, for example, 35652 + ... + 36108.

It is an arithmetic number, because the mean of its divisors is an integer number (432810).

Almost surely, 216397160 is an apocalyptic number.

16397160 is a gapful number since it is divisible by the number (10) 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 16397160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27699840).

16397160 is an abundant number, since it is smaller than the sum of its proper divisors (39002520).

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

16397160 is a wasteful number, since it uses less digits than its factorization.

16397160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 16397160 is about 4049.3406870749. The cubic root of 16397160 is about 254.0521520622.

The spelling of 16397160 in words is "sixteen million, three hundred ninety-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 457 460 520 552 598 690 780 897 914 920 1196 1371 1380 1495 1560 1794 1828 2285 2392 2742 2760 2990 3588 3656 4485 4570 5484 5941 5980 6855 7176 8970 9140 10511 10968 11882 11960 13710 17823 17940 18280 21022 23764 27420 29705 31533 35646 35880 42044 47528 52555 54840 59410 63066 71292 84088 89115 105110 118820 126132 136643 142584 157665 178230 210220 237640 252264 273286 315330 356460 409929 420440 546572 630660 683215 712920 819858 1093144 1261320 1366430 1639716 2049645 2732860 3279432 4099290 5465720 8198580 16397160