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40074080 = 25547732
BaseRepresentation
bin1001100011011…
…1101101100000
32210101222022012
42120313231200
540224332310
63550532052
7664424024
oct230675540
983358265
1040074080
1120691282
1211507028
1383c1497
145472384
1537b8c05
hex2637b60

40074080 has 72 divisors (see below), whose sum is σ = 98032032. Its totient is φ = 15473664.

The previous prime is 40074077. The next prime is 40074091. The reversal of 40074080 is 8047004.

40074080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548924 + ... + 548996.

It is an arithmetic number, because the mean of its divisors is an integer number (1361556).

Almost surely, 240074080 is an apocalyptic number.

40074080 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 40074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49016016).

40074080 is an abundant number, since it is smaller than the sum of its proper divisors (57957952).

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

40074080 is an equidigital number, since it uses as much as digits as its factorization.

40074080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 40074080 is about 6330.4091494942. The cubic root of 40074080 is about 342.2061841650.

The spelling of 40074080 in words is "forty million, seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 73 80 94 146 160 188 235 292 365 376 470 584 730 752 940 1168 1460 1504 1880 2336 2920 3431 3760 5329 5840 6862 7520 10658 11680 13724 17155 21316 26645 27448 34310 42632 53290 54896 68620 85264 106580 109792 137240 170528 213160 250463 274480 426320 500926 548960 852640 1001852 1252315 2003704 2504630 4007408 5009260 8014816 10018520 20037040 40074080