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25770420 = 22335133671
BaseRepresentation
bin110001001001…
…1100110110100
31210111021101000
41202103212310
523044123140
62320203300
7432021264
oct142234664
953437330
1025770420
1113601775
128769530
135453a90
1435cb7a4
1523e0a30
hex18939b4

25770420 has 96 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 6341760.

The previous prime is 25770401. The next prime is 25770431. The reversal of 25770420 is 2407752.

It is a super-2 number, since 2×257704202 = 1328229093952800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5185 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 225770420 is an apocalyptic number.

25770420 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 25770420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

25770420 is an abundant number, since it is smaller than the sum of its proper divisors (60595020).

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

25770420 is a wasteful number, since it uses less digits than its factorization.

25770420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 25770420 is about 5076.4574261979. The cubic root of 25770420 is about 295.3750663605.

The spelling of 25770420 in words is "twenty-five million, seven hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 3671 7020 7342 11013 14684 18355 22026 33039 36710 44052 47723 55065 66078 73420 95446 99117 110130 132156 143169 165195 190892 198234 220260 238615 286338 330390 396468 429507 477230 495585 572676 660780 715845 859014 954460 991170 1288521 1431690 1718028 1982340 2147535 2577042 2863380 4295070 5154084 6442605 8590140 12885210 25770420