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40120000 = 26541759
BaseRepresentation
bin1001100100001…
…0111011000000
32210111022021221
42121002323000
540232320000
63551524424
7665004634
oct231027300
983438257
1040120000
1120712828
1211529714
13840935b
145484dc4
1537c761a
hex2642ec0

40120000 has 140 divisors (see below), whose sum is σ = 107121960. Its totient is φ = 14848000.

The previous prime is 40119991. The next prime is 40120009. The reversal of 40120000 is 2104.

It is an interprime number because it is at equal distance from previous prime (40119991) and next prime (40120009).

It is a super-2 number, since 2×401200002 = 3219228800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 679971 + ... + 680029.

Almost surely, 240120000 is an apocalyptic number.

40120000 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 40120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53560980).

40120000 is an abundant number, since it is smaller than the sum of its proper divisors (67001960).

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

40120000 is an equidigital number, since it uses as much as digits as its factorization.

40120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 40120000 is about 6334.0350488452. The cubic root of 40120000 is about 342.3368430983.

Adding to 40120000 its reverse (2104), we get a palindrome (40122104).

The spelling of 40120000 in words is "forty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 59 64 68 80 85 100 118 125 136 160 170 200 236 250 272 295 320 340 400 425 472 500 544 590 625 680 800 850 944 1000 1003 1088 1180 1250 1360 1475 1600 1700 1888 2000 2006 2125 2360 2500 2720 2950 3400 3776 4000 4012 4250 4720 5000 5015 5440 5900 6800 7375 8000 8024 8500 9440 10000 10030 10625 11800 13600 14750 16048 17000 18880 20000 20060 21250 23600 25075 27200 29500 32096 34000 36875 40000 40120 42500 47200 50150 59000 64192 68000 73750 80240 85000 94400 100300 118000 125375 136000 147500 160480 170000 200600 236000 250750 295000 320960 340000 401200 472000 501500 590000 626875 680000 802400 1003000 1180000 1253750 1604800 2006000 2360000 2507500 4012000 5015000 8024000 10030000 20060000 40120000