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25432020 = 22325236143
BaseRepresentation
bin110000100000…
…0111111010100
31202212002011200
41201000333110
523002311040
62305032500
7426111555
oct141007724
952762150
1025432020
11133a04a9
128625730
135365a43
14354032c
152375630
hex1840fd4

25432020 has 72 divisors (see below), whose sum is σ = 80510976. Its totient is φ = 6485952.

The previous prime is 25432019. The next prime is 25432021. The reversal of 25432020 is 2023452.

It is an interprime number because it is at equal distance from previous prime (25432019) and next prime (25432021).

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 = 25431984 and 25432002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25432021) 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 23 ways as a sum of consecutive naturals, for example, 1069 + ... + 7211.

It is an arithmetic number, because the mean of its divisors is an integer number (1118208).

Almost surely, 225432020 is an apocalyptic number.

25432020 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 25432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40255488).

25432020 is an abundant number, since it is smaller than the sum of its proper divisors (55078956).

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

25432020 is a wasteful number, since it uses less digits than its factorization.

25432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 25432020 is about 5043.0169541654. The cubic root of 25432020 is about 294.0764760096.

Adding to 25432020 its reverse (2023452), we get a palindrome (27455472).

The spelling of 25432020 in words is "twenty-five million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 6143 12286 18429 24572 30715 36858 55287 61430 73716 92145 110574 122860 141289 184290 221148 276435 282578 368580 423867 552870 565156 706445 847734 1105740 1271601 1412890 1695468 2119335 2543202 2825780 4238670 5086404 6358005 8477340 12716010 25432020