Search a number
-
+
95734128 = 2437714013
BaseRepresentation
bin1011011010011…
…00100101110000
320200010210112110
411231030211300
5144001443003
613255525320
72241504150
oct555144560
9220123473
1095734128
114a048516
1228089840
1316aabc19
14ca00760
158610a03
hex5b4c970

95734128 has 80 divisors (see below), whose sum is σ = 286695936. Its totient is φ = 26960640.

The previous prime is 95734127. The next prime is 95734129. The reversal of 95734128 is 82143759.

It is an interprime number because it is at equal distance from previous prime (95734127) and next prime (95734129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95734127) 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 15 ways as a sum of consecutive naturals, for example, 21850 + ... + 25862.

Almost surely, 295734128 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 95734128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143347968).

95734128 is an abundant number, since it is smaller than the sum of its proper divisors (190961808).

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

95734128 is a wasteful number, since it uses less digits than its factorization.

95734128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4096 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 95734128 is about 9784.3818404639. The cubic root of 95734128 is about 457.4626013802.

The spelling of 95734128 in words is "ninety-five million, seven hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 71 84 112 142 168 213 284 336 426 497 568 852 994 1136 1491 1704 1988 2982 3408 3976 4013 5964 7952 8026 11928 12039 16052 23856 24078 28091 32104 48156 56182 64208 84273 96312 112364 168546 192624 224728 284923 337092 449456 569846 674184 854769 1139692 1348368 1709538 1994461 2279384 3419076 3988922 4558768 5983383 6838152 7977844 11966766 13676304 15955688 23933532 31911376 47867064 95734128