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32425020 = 22325192499
BaseRepresentation
bin111101110110…
…0010000111100
32021000100202200
41323230100330
531300100040
63114551500
7542415405
oct173542074
967010680
1032425020
1117337441
12aa38590
136943a04
1444409ac
152ca7630
hex1eec43c

32425020 has 108 divisors (see below), whose sum is σ = 104013000. Its totient is φ = 8175168.

The previous prime is 32424983. The next prime is 32425021. The reversal of 32425020 is 2052423.

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 = 32424984 and 32425002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32425021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64731 + ... + 65229.

Almost surely, 232425020 is an apocalyptic number.

32425020 is a gapful number since it is divisible by the number (30) 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 32425020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52006500).

32425020 is an abundant number, since it is smaller than the sum of its proper divisors (71587980).

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

32425020 is a wasteful number, since it uses less digits than its factorization.

32425020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 528 counting only the distinct ones).

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

The square root of 32425020 is about 5694.2971471464. The cubic root of 32425020 is about 318.8796104969.

Adding to 32425020 its reverse (2052423), we get a palindrome (34477443).

The spelling of 32425020 in words is "thirty-two million, four hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 499 570 684 722 855 998 1083 1140 1444 1497 1710 1805 1996 2166 2495 2994 3249 3420 3610 4332 4491 4990 5415 5988 6498 7220 7485 8982 9481 9980 10830 12996 14970 16245 17964 18962 21660 22455 28443 29940 32490 37924 44910 47405 56886 64980 85329 89820 94810 113772 142215 170658 180139 189620 284430 341316 360278 426645 540417 568860 720556 853290 900695 1080834 1621251 1706580 1801390 2161668 2702085 3242502 3602780 5404170 6485004 8106255 10808340 16212510 32425020