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164741500 = 22537112389
BaseRepresentation
bin10011101000111…
…00000101111100
3102110222201212001
421310130011330
5314133212000
624202552044
74040164630
oct1164340574
9373881761
10164741500
1184aa0800
1247208624
13281909a1
1417c44dc0
15e6e246a
hex9d1c17c

164741500 has 144 divisors (see below), whose sum is σ = 453136320. Its totient is φ = 51216000.

The previous prime is 164741497. The next prime is 164741503. The reversal of 164741500 is 5147461.

164741500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164741497) and next prime (164741503).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164741503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423306 + ... + 423694.

It is an arithmetic number, because the mean of its divisors is an integer number (3146780).

Almost surely, 2164741500 is an apocalyptic number.

164741500 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 164741500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226568160).

164741500 is an abundant number, since it is smaller than the sum of its proper divisors (288394820).

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

164741500 is a wasteful number, since it uses less digits than its factorization.

164741500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 164741500 is about 12835.1665357330. The cubic root of 164741500 is about 548.1940767468.

Adding to 164741500 its reverse (5147461), we get a palindrome (169888961).

The spelling of 164741500 in words is "one hundred sixty-four million, seven hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 121 125 140 154 175 220 242 250 275 308 350 385 389 484 500 550 605 700 770 778 847 875 1100 1210 1375 1540 1556 1694 1750 1925 1945 2420 2723 2750 3025 3388 3500 3850 3890 4235 4279 5446 5500 6050 7700 7780 8470 8558 9625 9725 10892 12100 13615 15125 16940 17116 19250 19450 21175 21395 27230 29953 30250 38500 38900 42350 42790 47069 48625 54460 59906 60500 68075 84700 85580 94138 97250 105875 106975 119812 136150 149765 188276 194500 211750 213950 235345 272300 299530 329483 340375 423500 427900 470690 534875 599060 658966 680750 748825 941380 1069750 1176725 1317932 1361500 1497650 1647415 2139500 2353450 2995300 3294830 3744125 4706900 5883625 6589660 7488250 8237075 11767250 14976500 16474150 23534500 32948300 41185375 82370750 164741500