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5305356 = 2232737569
BaseRepresentation
bin10100001111010000001100
3100222112120200
4110033100030
52324232411
6305413500
763044340
oct24172014
910875520
105305356
112aa3aa1
12193a290
131139a84
149c1620
156ebe56
hex50f40c

5305356 has 72 divisors (see below), whose sum is σ = 15768480. Its totient is φ = 1472256.

The previous prime is 5305337. The next prime is 5305361. The reversal of 5305356 is 6535035.

It is a happy number.

5305356 is a `hidden beast` number, since 5 + 305 + 356 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9040 + ... + 9608.

Almost surely, 25305356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884240).

5305356 is an abundant number, since it is smaller than the sum of its proper divisors (10463124).

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

5305356 is a wasteful number, since it uses less digits than its factorization.

5305356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 5305356 is about 2303.3358417738. The cubic root of 5305356 is about 174.4100515347.

It can be divided in two parts, 530 and 5356, that added together give a triangular number (5886 = T108).

The spelling of 5305356 in words is "five million, three hundred five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 569 666 777 1036 1138 1332 1554 1707 2276 2331 3108 3414 3983 4662 5121 6828 7966 9324 10242 11949 15932 20484 21053 23898 35847 42106 47796 63159 71694 84212 126318 143388 147371 189477 252636 294742 378954 442113 589484 757908 884226 1326339 1768452 2652678 5305356