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5340150240 = 253546124133
BaseRepresentation
bin1001111100100110…
…00011100111100000
3111210011102201222020
410332103003213200
541414034301430
62241521541440
7246222346065
oct47623034740
914704381866
105340150240
1122a0414a07
1210504a4880
13671476719
14389326c6c
15213c46b10
hex13e4c39e0

5340150240 has 96 divisors (see below), whose sum is σ = 16858660896. Its totient is φ = 1420892160.

The previous prime is 5340150227. The next prime is 5340150251. The reversal of 5340150240 is 420510435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5340150240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209214 + ... + 233346.

It is an arithmetic number, because the mean of its divisors is an integer number (175611051).

Almost surely, 25340150240 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 5340150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429330448).

5340150240 is an abundant number, since it is smaller than the sum of its proper divisors (11518510656).

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

5340150240 is a wasteful number, since it uses less digits than its factorization.

5340150240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24612 (or 24604 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5340150240 is about 73076.3315992258. The cubic root of 5340150240 is about 1747.9050021072.

Adding to 5340150240 its reverse (420510435), we get a palindrome (5760660675).

The spelling of 5340150240 in words is "five billion, three hundred forty million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 461 480 922 1383 1844 2305 2766 3688 4610 5532 6915 7376 9220 11064 13830 14752 18440 22128 24133 27660 36880 44256 48266 55320 72399 73760 96532 110640 120665 144798 193064 221280 241330 289596 361995 386128 482660 579192 723990 772256 965320 1158384 1447980 1930640 2316768 2895960 3861280 5791920 11125313 11583840 22250626 33375939 44501252 55626565 66751878 89002504 111253130 133503756 166879695 178005008 222506260 267007512 333759390 356010016 445012520 534015024 667518780 890025040 1068030048 1335037560 1780050080 2670075120 5340150240