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95111680 = 29553701
BaseRepresentation
bin1011010101101…
…00101000000000
320121222011200211
411222310220000
5143322033210
613234323504
72233302346
oct552645000
9217864624
1095111680
11497628a4
1227a29594
1316921801
14c8bb996
15853b38a
hex5ab4a00

95111680 has 80 divisors (see below), whose sum is σ = 232679304. Its totient is φ = 37273600.

The previous prime is 95111669. The next prime is 95111707. The reversal of 95111680 is 8611159.

It can be written as a sum of positive squares in 4 ways, for example, as 93083904 + 2027776 = 9648^2 + 1424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135330 + ... + 136030.

Almost surely, 295111680 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 95111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116339652).

95111680 is an abundant number, since it is smaller than the sum of its proper divisors (137567624).

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

95111680 is an equidigital number, since it uses as much as digits as its factorization.

95111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 95111680 is about 9752.5217251745. The cubic root of 95111680 is about 456.4689952618.

The spelling of 95111680 in words is "ninety-five million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 701 848 1060 1280 1402 1696 2120 2560 2804 3392 3505 4240 5608 6784 7010 8480 11216 13568 14020 16960 22432 27136 28040 33920 37153 44864 56080 67840 74306 89728 112160 135680 148612 179456 185765 224320 297224 358912 371530 448640 594448 743060 897280 1188896 1486120 1794560 2377792 2972240 4755584 5944480 9511168 11888960 19022336 23777920 47555840 95111680