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5955066 = 2331317499
BaseRepresentation
bin10110101101110111111010
3102012112211000
4112231313322
53011030231
6331345430
7101421465
oct26556772
912175730
105955066
1133a8147
121bb2276
131306710
14b102dc
157c96e6
hex5addfa

5955066 has 64 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1721088.

The previous prime is 5955043. The next prime is 5955067. The reversal of 5955066 is 6605595.

5955066 is a `hidden beast` number, since 595 + 5 + 0 + 66 = 666.

It is a super-2 number, since 2×59550662 = 70925622128712, which contains 22 as substring.

It is a d-powerful number, because it can be written as 58 + 97 + 58 + 58 + 0 + 6 + 63 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5955066.

It is not an unprimeable number, because it can be changed into a prime (5955067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11685 + ... + 12183.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 25955066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

5955066 is an abundant number, since it is smaller than the sum of its proper divisors (9164934).

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

5955066 is a wasteful number, since it uses less digits than its factorization.

5955066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5955066 is about 2440.3003913453. The cubic root of 5955066 is about 181.2573083062.

The spelling of 5955066 in words is "five million, nine hundred fifty-five thousand, sixty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 499 663 702 918 998 1326 1497 1989 2994 3978 4491 5967 6487 8483 8982 11934 12974 13473 16966 19461 25449 26946 38922 50898 58383 76347 110279 116766 152694 175149 220558 229041 330837 350298 458082 661674 992511 1985022 2977533 5955066