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9995805 = 35519433
BaseRepresentation
bin100110001000…
…011000011101
3200210211200000
4212020120131
510024331210
6554124513
7150651201
oct46103035
920724600
109995805
115707aa6
123420739
1320bc9a1
141482b01
15d26ac0
hex98861d

9995805 has 48 divisors (see below), whose sum is σ = 18957120. Its totient is φ = 5038848.

The previous prime is 9995801. The next prime is 9995827. The reversal of 9995805 is 5085999.

It is not a de Polignac number, because 9995805 - 22 = 9995801 is a prime.

It is a super-2 number, since 2×99958052 = 199832235196050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9995801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22869 + ... + 23301.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 29995805 is an apocalyptic number.

9995805 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9995805 is a deficient number, since it is larger than the sum of its proper divisors (8961315).

9995805 is a wasteful number, since it uses less digits than its factorization.

9995805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The square root of 9995805 is about 3161.6143028523. The cubic root of 9995805 is about 215.4133386111.

The spelling of 9995805 in words is "nine million, nine hundred ninety-five thousand, eight hundred five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 405 433 513 855 1215 1299 1539 2165 2565 3897 4617 6495 7695 8227 11691 19485 23085 24681 35073 41135 58455 74043 105219 123405 175365 222129 370215 526095 666387 1110645 1999161 3331935 9995805