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95712006 = 2313171929131
BaseRepresentation
bin1011011010001…
…11001100000110
320200002200012010
411231013030012
5144000241011
613255235050
72241352515
oct555071406
9220080163
1095712006
114a032935
1228078a86
1316aa1b30
14c9d667c
1586091a6
hex5b47306

95712006 has 128 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 25159680.

The previous prime is 95711971. The next prime is 95712013. The reversal of 95712006 is 60021759.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 730561 + ... + 730691.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 295712006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95712006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

95712006 is an abundant number, since it is smaller than the sum of its proper divisors (143788794).

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

95712006 is a wasteful number, since it uses less digits than its factorization.

95712006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 95712006 is about 9783.2513000536. The cubic root of 95712006 is about 457.4273622324.

The spelling of 95712006 in words is "ninety-five million, seven hundred twelve thousand, six".

Divisors: 1 2 3 6 13 17 19 26 29 34 38 39 51 57 58 78 87 102 114 131 174 221 247 262 323 377 393 442 493 494 551 646 663 741 754 786 969 986 1102 1131 1326 1479 1482 1653 1703 1938 2227 2262 2489 2958 3306 3406 3799 4199 4454 4978 5109 6409 6681 7163 7467 7598 8398 9367 10218 11397 12597 12818 13362 14326 14934 18734 19227 21489 22794 25194 28101 28951 32357 38454 42313 42978 49387 56202 57902 64583 64714 72181 84626 86853 97071 98774 121771 126939 129166 144362 148161 173706 193749 194142 216543 243542 253878 296322 365313 387498 433086 550069 730626 839579 938353 1100138 1227077 1650207 1679158 1876706 2454154 2518737 2815059 3300414 3681231 5037474 5630118 7362462 15952001 31904002 47856003 95712006