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95380320 = 2535728387
BaseRepresentation
bin1011010111101…
…10001101100000
320122110211012110
411223312031200
5143404132240
613244155320
72235501510
oct553661540
9218424173
1095380320
1149926712
1227b38b40
13169b6b79
14c94b840
158590c80
hex5af6360

95380320 has 96 divisors (see below), whose sum is σ = 343381248. Its totient is φ = 21800448.

The previous prime is 95380297. The next prime is 95380349. The reversal of 95380320 is 2308359.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10834 + ... + 17553.

It is an arithmetic number, because the mean of its divisors is an integer number (3576888).

Almost surely, 295380320 is an apocalyptic number.

It is an amenable number.

95380320 is an abundant number, since it is smaller than the sum of its proper divisors (248000928).

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

95380320 is a wasteful number, since it uses less digits than its factorization.

95380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28412 (or 28404 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 95380320 is about 9766.2848617066. The cubic root of 95380320 is about 456.8983521356.

Adding to 95380320 its reverse (2308359), we get a palindrome (97688679).

The spelling of 95380320 in words is "ninety-five million, three hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 28387 56774 85161 113548 141935 170322 198709 227096 283870 340644 397418 425805 454192 567740 596127 681288 794836 851610 908384 993545 1135480 1192254 1362576 1589672 1703220 1987090 2270960 2384508 2725152 2980635 3179344 3406440 3974180 4541920 4769016 5961270 6358688 6812880 7948360 9538032 11922540 13625760 15896720 19076064 23845080 31793440 47690160 95380320