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39540340 = 2257299739
BaseRepresentation
bin1001011011010…
…1011001110100
32202101212011001
42112311121310
540110242330
63531253044
7660041650
oct226653164
982355131
1039540340
1120357274
12112aa184
138265568
145373a60
1537109ca
hex25b5674

39540340 has 48 divisors (see below), whose sum is σ = 98179200. Its totient is φ = 13087872.

The previous prime is 39540337. The next prime is 39540343. The reversal of 39540340 is 4304593.

It is an interprime number because it is at equal distance from previous prime (39540337) and next prime (39540343).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 39540299 and 39540308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39540343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810 + ... + 8929.

It is an arithmetic number, because the mean of its divisors is an integer number (2045400).

Almost surely, 239540340 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 39540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49089600).

39540340 is an abundant number, since it is smaller than the sum of its proper divisors (58638860).

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

39540340 is a wasteful number, since it uses less digits than its factorization.

39540340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 39540340 is about 6288.1110041093. Note that the first 3 decimals coincide. The cubic root of 39540340 is about 340.6801264761.

The spelling of 39540340 in words is "thirty-nine million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 9739 19478 38956 48695 68173 97390 136346 194780 272692 282431 340865 564862 681730 1129724 1363460 1412155 1977017 2824310 3954034 5648620 7908068 9885085 19770170 39540340