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95135520 = 2535474217
BaseRepresentation
bin1011010101110…
…10011100100000
320122000101101210
411222322130200
5143323314040
613235030120
72233432014
oct552723440
9218011353
1095135520
11497797a7
1227a3b340
131692c60c
14c8c6544
158543480
hex5aba720

95135520 has 96 divisors (see below), whose sum is σ = 306125568. Its totient is φ = 24823808.

The previous prime is 95135507. The next prime is 95135543. The reversal of 95135520 is 2553159.

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 (30).

It is an unprimeable number.

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, 20452 + ... + 24668.

It is an arithmetic number, because the mean of its divisors is an integer number (3188808).

Almost surely, 295135520 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 95135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062784).

95135520 is an abundant number, since it is smaller than the sum of its proper divisors (210990048).

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

95135520 is a wasteful number, since it uses less digits than its factorization.

95135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 95135520 is about 9753.7438965763. The cubic root of 95135520 is about 456.5071304721.

Adding to 95135520 its reverse (2553159), we get a palindrome (97688679).

The spelling of 95135520 in words is "ninety-five million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4217 4512 5640 7520 8434 11280 12651 16868 21085 22560 25302 33736 42170 50604 63255 67472 84340 101208 126510 134944 168680 198199 202416 253020 337360 396398 404832 506040 594597 674720 792796 990995 1012080 1189194 1585592 1981990 2024160 2378388 2972985 3171184 3963980 4756776 5945970 6342368 7927960 9513552 11891940 15855920 19027104 23783880 31711840 47567760 95135520