Search a number
-
+
5900040 = 23355607
BaseRepresentation
bin10110100000011100001000
3102002202100000
4112200130020
53002300130
6330243000
7101102166
oct26403410
912082300
105900040
11336a873
121b86460
1312b7663
14ad8236
157b8260
hex5a0708

5900040 has 96 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 1570752.

The previous prime is 5899997. The next prime is 5900047. The reversal of 5900040 is 400095.

It is a Cunningham number, because it is equal to 24292-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5899986 and 5900022.

It is not an unprimeable number, because it can be changed into a prime (5900047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9417 + ... + 10023.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 25900040 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 5900040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9959040).

5900040 is an abundant number, since it is smaller than the sum of its proper divisors (14018040).

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

5900040 is a wasteful number, since it uses less digits than its factorization.

5900040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5900040 is about 2428.9997941540. Note that the first 3 decimals coincide. The cubic root of 5900040 is about 180.6972952857.

Subtracting from 5900040 its reverse (400095), we obtain a palindrome (5499945).

The spelling of 5900040 in words is "five million, nine hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 607 648 810 972 1080 1214 1215 1620 1821 1944 2428 2430 3035 3240 3642 4856 4860 5463 6070 7284 9105 9720 10926 12140 14568 16389 18210 21852 24280 27315 32778 36420 43704 49167 54630 65556 72840 81945 98334 109260 131112 147501 163890 196668 218520 245835 295002 327780 393336 491670 590004 655560 737505 983340 1180008 1475010 1966680 2950020 5900040