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25402020 = 22357311951
BaseRepresentation
bin110000011100…
…1101010100100
31202210120000120
41200321222210
523000331040
62304241540
7425625240
oct140715244
952716016
1025402020
111337aa06
1286102b0
1353551a7
143533420
15236b7d0
hex1839aa4

25402020 has 96 divisors (see below), whose sum is σ = 83951616. Its totient is φ = 5616000.

The previous prime is 25402019. The next prime is 25402021. The reversal of 25402020 is 2020452.

It is an interprime number because it is at equal distance from previous prime (25402019) and next prime (25402021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (25402021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12045 + ... + 13995.

It is an arithmetic number, because the mean of its divisors is an integer number (874496).

Almost surely, 225402020 is an apocalyptic number.

25402020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41975808).

25402020 is an abundant number, since it is smaller than the sum of its proper divisors (58549596).

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

25402020 is a wasteful number, since it uses less digits than its factorization.

25402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 25402020 is about 5040.0416664944. The cubic root of 25402020 is about 293.9607981420.

Adding to 25402020 its reverse (2020452), we get a palindrome (27422472).

It can be divided in two parts, 2540 and 2020, that added together give a triangular number (4560 = T95).

The spelling of 25402020 in words is "twenty-five million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 1951 2170 2604 3255 3902 4340 5853 6510 7804 9755 11706 13020 13657 19510 23412 27314 29265 39020 40971 54628 58530 60481 68285 81942 117060 120962 136570 163884 181443 204855 241924 273140 302405 362886 409710 423367 604810 725772 819420 846734 907215 1209620 1270101 1693468 1814430 2116835 2540202 3628860 4233670 5080404 6350505 8467340 12701010 25402020