Search a number
-
+
5358960 = 24345827
BaseRepresentation
bin10100011100010101110000
3101002021010000
4110130111300
52332441320
6310510000
763356535
oct24342560
911067100
105358960
1130302a2
121965300
1311582a9
149d6d8c
1570cc90
hex51c570

5358960 has 100 divisors (see below), whose sum is σ = 18634968. Its totient is φ = 1427328.

The previous prime is 5358953. The next prime is 5358967. The reversal of 5358960 is 698535.

It is an interprime number because it is at equal distance from previous prime (5358953) and next prime (5358967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5358967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6067 + ... + 6893.

Almost surely, 25358960 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 5358960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9317484).

5358960 is an abundant number, since it is smaller than the sum of its proper divisors (13276008).

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

5358960 is a wasteful number, since it uses less digits than its factorization.

5358960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5358960 is about 2314.9427638713. The cubic root of 5358960 is about 174.9954828766.

The spelling of 5358960 in words is "five million, three hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 827 1080 1296 1620 1654 2160 2481 3240 3308 4135 4962 6480 6616 7443 8270 9924 12405 13232 14886 16540 19848 22329 24810 29772 33080 37215 39696 44658 49620 59544 66160 66987 74430 89316 99240 111645 119088 133974 148860 178632 198480 223290 267948 297720 334935 357264 446580 535896 595440 669870 893160 1071792 1339740 1786320 2679480 5358960