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40425120 = 2532567419
BaseRepresentation
bin1001101000110…
…1011010100000
32211001210211200
42122031122200
540322100440
64002241200
71000415331
oct232153240
984053750
1040425120
1120900a9a
1211656200
1384b51b8
145524288
153837c30
hex268d6a0

40425120 has 144 divisors (see below), whose sum is σ = 140343840. Its totient is φ = 10593792.

The previous prime is 40425113. The next prime is 40425163. The reversal of 40425120 is 2152404.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 40425093 and 40425102.

It is an unprimeable number.

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, 96271 + ... + 96689.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 240425120 is an apocalyptic number.

40425120 is a gapful number since it is divisible by the number (40) 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 40425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70171920).

40425120 is an abundant number, since it is smaller than the sum of its proper divisors (99918720).

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

40425120 is a wasteful number, since it uses less digits than its factorization.

40425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40425120 is about 6358.0751804300. The cubic root of 40425120 is about 343.2024972515.

Adding to 40425120 its reverse (2152404), we get a palindrome (42577524).

The spelling of 40425120 in words is "forty million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 120 134 144 160 180 201 240 268 288 335 360 402 419 480 536 603 670 720 804 838 1005 1072 1206 1257 1340 1440 1608 1676 2010 2095 2144 2412 2514 2680 3015 3216 3352 3771 4020 4190 4824 5028 5360 6030 6285 6432 6704 7542 8040 8380 9648 10056 10720 12060 12570 13408 15084 16080 16760 18855 19296 20112 24120 25140 28073 30168 32160 33520 37710 40224 48240 50280 56146 60336 67040 75420 84219 96480 100560 112292 120672 140365 150840 168438 201120 224584 252657 280730 301680 336876 421095 449168 505314 561460 603360 673752 842190 898336 1010628 1122920 1263285 1347504 1684380 2021256 2245840 2526570 2695008 3368760 4042512 4491680 5053140 6737520 8085024 10106280 13475040 20212560 40425120