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64134500 = 22531943157
BaseRepresentation
bin1111010010100…
…1110101100100
311110200100222212
43310221311210
5112404301000
610210342552
71406064023
oct364516544
9143610885
1064134500
1133225221
121958aa58
1310396b11
1487368ba
15596cc35
hex3d29d64

64134500 has 96 divisors (see below), whose sum is σ = 151831680. Its totient is φ = 23587200.

The previous prime is 64134467. The next prime is 64134503. The reversal of 64134500 is 543146.

It is a happy number.

It is a super-2 number, since 2×641345002 = 8226468180500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64134503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408422 + ... + 408578.

It is an arithmetic number, because the mean of its divisors is an integer number (1581580).

Almost surely, 264134500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64134500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75915840).

64134500 is an abundant number, since it is smaller than the sum of its proper divisors (87697180).

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

64134500 is a wasteful number, since it uses less digits than its factorization.

64134500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 64134500 is about 8008.4018380698. The cubic root of 64134500 is about 400.2800122704.

Adding to 64134500 its reverse (543146), we get a palindrome (64677646).

The spelling of 64134500 in words is "sixty-four million, one hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 125 157 172 190 215 250 314 380 430 475 500 628 785 817 860 950 1075 1570 1634 1900 2150 2375 2983 3140 3268 3925 4085 4300 4750 5375 5966 6751 7850 8170 9500 10750 11932 13502 14915 15700 16340 19625 20425 21500 27004 29830 33755 39250 40850 59660 67510 74575 78500 81700 102125 128269 135020 149150 168775 204250 256538 298300 337550 372875 408500 513076 641345 675100 745750 843875 1282690 1491500 1687750 2565380 3206725 3375500 6413450 12826900 16033625 32067250 64134500