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5436340 = 22571329103
BaseRepresentation
bin10100101111001110110100
3101020012020221
4110233032310
52342430330
6312304124
764131250
oct24571664
911205227
105436340
113083448
1219a2044
131184590
14a17260
15725b7a
hex52f3b4

5436340 has 96 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1645056.

The previous prime is 5436331. The next prime is 5436341. The reversal of 5436340 is 436345.

5436340 = 5952 + 5962 + ... + 6092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52729 + ... + 52831.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 25436340 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 5436340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

5436340 is an abundant number, since it is smaller than the sum of its proper divisors (9240140).

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

5436340 is a wasteful number, since it uses less digits than its factorization.

5436340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 5436340 is about 2331.5960198971. The cubic root of 5436340 is about 175.8337358890.

It can be divided in two parts, 5436 and 340, that added together give a square (5776 = 762).

The spelling of 5436340 in words is "five million, four hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 103 116 130 140 145 182 203 206 260 290 364 377 406 412 455 515 580 721 754 812 910 1015 1030 1339 1442 1508 1820 1885 2030 2060 2639 2678 2884 2987 3605 3770 4060 5278 5356 5974 6695 7210 7540 9373 10556 11948 13195 13390 14420 14935 18746 20909 26390 26780 29870 37492 38831 41818 46865 52780 59740 77662 83636 93730 104545 155324 187460 194155 209090 271817 388310 418180 543634 776620 1087268 1359085 2718170 5436340