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40205140 = 22519313413
BaseRepresentation
bin1001100101011…
…1101101010100
32210122122002021
42121113231110
540243031030
63553422524
7665511103
oct231275524
983578067
1040205140
1120770798
121156aa44
138439031
1454a803a
1537e297a
hex2657b54

40205140 has 48 divisors (see below), whose sum is σ = 91768320. Its totient is φ = 14739840.

The previous prime is 40205101. The next prime is 40205141. The reversal of 40205140 is 4150204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40205141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10074 + ... + 13486.

It is an arithmetic number, because the mean of its divisors is an integer number (1911840).

Almost surely, 240205140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45884160).

40205140 is an abundant number, since it is smaller than the sum of its proper divisors (51563180).

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

40205140 is a wasteful number, since it uses less digits than its factorization.

40205140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3470 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 40205140 is about 6340.7523212944. The cubic root of 40205140 is about 342.5788335060.

Adding to 40205140 its reverse (4150204), we get a palindrome (44355344).

The spelling of 40205140 in words is "forty million, two hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 3413 5890 6826 11780 13652 17065 34130 64847 68260 105803 129694 211606 259388 324235 423212 529015 648470 1058030 1296940 2010257 2116060 4020514 8041028 10051285 20102570 40205140