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95230128 = 24372192131
BaseRepresentation
bin1011010110100…
…01100010110000
320122012012011210
411223101202300
5143334331003
613241040120
72234304600
oct553214260
9218165153
1095230128
1149833894
1227a86040
13169636b6
14c90cc00
158561503
hex5ad18b0

95230128 has 120 divisors (see below), whose sum is σ = 301379520. Its totient is φ = 25764480.

The previous prime is 95230127. The next prime is 95230159. The reversal of 95230128 is 82103259.

It is a happy number.

95230128 is nontrivially palindromic in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 95230095 and 95230104.

It is not an unprimeable number, because it can be changed into a prime (95230127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43623 + ... + 45753.

It is an arithmetic number, because the mean of its divisors is an integer number (2511496).

Almost surely, 295230128 is an apocalyptic number.

95230128 is a gapful number since it is divisible by the number (98) 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 95230128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150689760).

95230128 is an abundant number, since it is smaller than the sum of its proper divisors (206149392).

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

95230128 is a wasteful number, since it uses less digits than its factorization.

95230128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 95230128 is about 9758.5925214654. The cubic root of 95230128 is about 456.6584056142.

The spelling of 95230128 in words is "ninety-five million, two hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2131 2352 2793 3192 3724 4262 5586 6384 6393 7448 8524 11172 12786 14896 14917 17048 22344 25572 29834 34096 40489 44688 44751 51144 59668 80978 89502 102288 104419 119336 121467 161956 179004 208838 238672 242934 283423 313257 323912 358008 417676 485868 566846 626514 647824 716016 835352 850269 971736 1133692 1253028 1670704 1700538 1943472 1983961 2267384 2506056 3401076 3967922 4534768 5012112 5951883 6802152 7935844 11903766 13604304 15871688 23807532 31743376 47615064 95230128