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2025420390 = 23457251031
BaseRepresentation
bin111100010111001…
…0111011001100110
312020011012000110000
41320232113121212
513122001423030
6532551442130
7101122534500
oct17056273146
95204160400
102025420390
1194a32a354
12486386346
13263807a06
14152dd4d70
15bcc34860
hex78b97666

2025420390 has 120 divisors (see below), whose sum is σ = 6335418672. Its totient is φ = 462944160.

The previous prime is 2025420379. The next prime is 2025420391. The reversal of 2025420390 is 930245202.

2025420390 is a `hidden beast` number, since 2 + 0 + 254 + 20 + 390 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025420391) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14175 + ... + 65205.

Almost surely, 22025420390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025420390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167709336).

2025420390 is an abundant number, since it is smaller than the sum of its proper divisors (4309998282).

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

2025420390 is a wasteful number, since it uses less digits than its factorization.

2025420390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51064 (or 51048 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2025420390 is about 45004.6707576003. The cubic root of 2025420390 is about 1265.2365402056.

Adding to 2025420390 its reverse (930245202), we get a palindrome (2955665592).

The spelling of 2025420390 in words is "two billion, twenty-five million, four hundred twenty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19845 39690 51031 102062 153093 255155 306186 357217 459279 510310 714434 765465 918558 1071651 1377837 1530930 1786085 2143302 2296395 2500519 2755674 3214953 3572170 4133511 4592790 5001038 5358255 6429906 6889185 7501557 8267022 9644859 10716510 12502595 13778370 15003114 16074765 19289718 20667555 22504671 25005190 28934577 32149530 37507785 41335110 45009342 48224295 57869154 67514013 75015570 96448590 112523355 135028026 144672885 202542039 225046710 289345770 337570065 405084078 675140130 1012710195 2025420390