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95102080 = 275178741
BaseRepresentation
bin1011010101100…
…10010010000000
320121221200112021
411222302102000
5143321231310
613234211224
72233232353
oct552622200
9217850467
1095102080
1149756667
1227a23b14
131691a328
14c8b829a
1585385da
hex5ab2480

95102080 has 64 divisors (see below), whose sum is σ = 240754680. Its totient is φ = 35799040.

The previous prime is 95102053. The next prime is 95102089. The reversal of 95102080 is 8020159.

It can be written as a sum of positive squares in 4 ways, for example, as 74235456 + 20866624 = 8616^2 + 4568^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (95102089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6510 + ... + 15250.

Almost surely, 295102080 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 95102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120377340).

95102080 is an abundant number, since it is smaller than the sum of its proper divisors (145652600).

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

95102080 is a wasteful number, since it uses less digits than its factorization.

95102080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 95102080 is about 9752.0295323589. The cubic root of 95102080 is about 456.4536370016.

The spelling of 95102080 in words is "ninety-five million, one hundred two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 8741 10880 17482 34964 43705 69928 87410 139856 148597 174820 279712 297194 349640 559424 594388 699280 742985 1118848 1188776 1398560 1485970 2377552 2797120 2971940 4755104 5594240 5943880 9510208 11887760 19020416 23775520 47551040 95102080