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164113500 = 22353372957
BaseRepresentation
bin10011100100000…
…10110001011100
3102102210211101210
421302002301130
5314003113000
624141304420
74031641005
oct1162026134
9372724353
10164113500
11847019a1
1246b65110
1328000ba5
1417b201ac
15e61b350
hex9c82c5c

164113500 has 96 divisors (see below), whose sum is σ = 490980672. Its totient is φ = 42566400.

The previous prime is 164113489. The next prime is 164113511. The reversal of 164113500 is 5311461.

It is an interprime number because it is at equal distance from previous prime (164113489) and next prime (164113511).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54022 + ... + 56978.

It is an arithmetic number, because the mean of its divisors is an integer number (5114382).

Almost surely, 2164113500 is an apocalyptic number.

164113500 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 164113500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245490336).

164113500 is an abundant number, since it is smaller than the sum of its proper divisors (326867172).

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

164113500 is a wasteful number, since it uses less digits than its factorization.

164113500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 164113500 is about 12810.6791389059. The cubic root of 164113500 is about 547.4966118095.

Adding to 164113500 its reverse (5311461), we get a palindrome (169424961).

The spelling of 164113500 in words is "one hundred sixty-four million, one hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 500 555 740 750 925 1110 1500 1850 2220 2775 2957 3700 4625 5550 5914 8871 9250 11100 11828 13875 14785 17742 18500 27750 29570 35484 44355 55500 59140 73925 88710 109409 147850 177420 218818 221775 295700 328227 369625 437636 443550 547045 656454 739250 887100 1094090 1108875 1312908 1478500 1641135 2188180 2217750 2735225 3282270 4435500 5470450 6564540 8205675 10940900 13676125 16411350 27352250 32822700 41028375 54704500 82056750 164113500