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95128704 = 2732117507
BaseRepresentation
bin1011010101110…
…00110010000000
320122000001001100
411222320302000
5143323104304
613234534400
72233403106
oct552706200
9218001040
1095128704
1149774670
1227a37400
1316929498
14c8c3c76
158541439
hex5ab8c80

95128704 has 96 divisors (see below), whose sum is σ = 298668240. Its totient is φ = 28823040.

The previous prime is 95128679. The next prime is 95128723. The reversal of 95128704 is 40782159.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8919 + ... + 16425.

Almost surely, 295128704 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 95128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149334120).

95128704 is an abundant number, since it is smaller than the sum of its proper divisors (203539536).

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

95128704 is a wasteful number, since it uses less digits than its factorization.

95128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 95128704 is about 9753.3944860238. The cubic root of 95128704 is about 456.4962280355.

The spelling of 95128704 in words is "ninety-five million, one hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 7507 12672 15014 22521 30028 45042 60056 67563 82577 90084 120112 135126 165154 180168 240224 247731 270252 330308 360336 480448 495462 540504 660616 720672 743193 960896 990924 1081008 1321232 1441344 1486386 1981848 2162016 2642464 2882688 2972772 3963696 4324032 5284928 5945544 7927392 8648064 10569856 11891088 15854784 23782176 31709568 47564352 95128704