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5709330 = 2325117379
BaseRepresentation
bin10101110001111000010010
3101202001201200
4111301320102
52430144310
6322212030
766346164
oct25617022
911661650
105709330
11324a560
121ab4016
13124b903
14a88934
1577b9c0
hex571e12

5709330 has 96 divisors (see below), whose sum is σ = 16623360. Its totient is φ = 1347840.

The previous prime is 5709307. The next prime is 5709349. The reversal of 5709330 is 339075.

5709330 = T340 + T341 + ... + T418.

5709330 is a `hidden beast` number, since 570 + 93 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5709294 and 5709303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72231 + ... + 72309.

It is an arithmetic number, because the mean of its divisors is an integer number (173160).

Almost surely, 25709330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5709330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311680).

5709330 is an abundant number, since it is smaller than the sum of its proper divisors (10914030).

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

5709330 is a wasteful number, since it uses less digits than its factorization.

5709330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 5709330 is about 2389.4204318202. The cubic root of 5709330 is about 178.7290095488.

The spelling of 5709330 in words is "five million, seven hundred nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 73 79 90 99 110 146 158 165 198 219 237 330 365 395 438 474 495 657 711 730 790 803 869 990 1095 1185 1314 1422 1606 1738 2190 2370 2409 2607 3285 3555 4015 4345 4818 5214 5767 6570 7110 7227 7821 8030 8690 11534 12045 13035 14454 15642 17301 24090 26070 28835 34602 36135 39105 51903 57670 63437 72270 78210 86505 103806 126874 173010 190311 259515 317185 380622 519030 570933 634370 951555 1141866 1903110 2854665 5709330