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31325040 = 24325139313
BaseRepresentation
bin111011101111…
…1101101110000
32011221110212200
41313133231300
531004400130
63035223200
7530154435
oct167375560
964843780
1031325040
1116755a6a
12a5a7b00
13664a136
144235b8c
152b3b760
hex1ddfb70

31325040 has 120 divisors (see below), whose sum is σ = 106295280. Its totient is φ = 8266752.

The previous prime is 31324991. The next prime is 31325071. The reversal of 31325040 is 4052313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99924 + ... + 100236.

It is an arithmetic number, because the mean of its divisors is an integer number (885794).

Almost surely, 231325040 is an apocalyptic number.

31325040 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 31325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53147640).

31325040 is an abundant number, since it is smaller than the sum of its proper divisors (74970240).

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

31325040 is a wasteful number, since it uses less digits than its factorization.

31325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31325040 is about 5596.8777010044. The cubic root of 31325040 is about 315.2321795416.

Adding to 31325040 its reverse (4052313), we get a palindrome (35377353).

The spelling of 31325040 in words is "thirty-one million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 313 360 417 556 626 695 720 834 939 1112 1251 1252 1390 1565 1668 1878 2085 2224 2502 2504 2780 2817 3130 3336 3756 4170 4695 5004 5008 5560 5634 6255 6260 6672 7512 8340 9390 10008 11120 11268 12510 12520 14085 15024 16680 18780 20016 22536 25020 25040 28170 33360 37560 43507 45072 50040 56340 75120 87014 100080 112680 130521 174028 217535 225360 261042 348056 391563 435070 522084 652605 696112 783126 870140 1044168 1305210 1566252 1740280 1957815 2088336 2610420 3132504 3480560 3915630 5220840 6265008 7831260 10441680 15662520 31325040