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40104080 = 24531103157
BaseRepresentation
bin1001100011111…
…1000010010000
32210110111110022
42120333002100
540231312310
63551323012
7664610342
oct230770220
983414408
1040104080
1120701875
1211520468
138402033
14547d292
1537c2a55
hex263f090

40104080 has 80 divisors (see below), whose sum is σ = 97803264. Its totient is φ = 15275520.

The previous prime is 40104067. The next prime is 40104089. The reversal of 40104080 is 8040104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (40104089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 255362 + ... + 255518.

Almost surely, 240104080 is an apocalyptic number.

40104080 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 40104080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48901632).

40104080 is an abundant number, since it is smaller than the sum of its proper divisors (57699184).

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

40104080 is a wasteful number, since it uses less digits than its factorization.

40104080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 40104080 is about 6332.7782212865. The cubic root of 40104080 is about 342.2915562624.

Adding to 40104080 its reverse (8040104), we get a palindrome (48144184).

The spelling of 40104080 in words is "forty million, one hundred four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 103 124 155 157 206 248 310 314 412 496 515 620 628 785 824 1030 1240 1256 1570 1648 2060 2480 2512 3140 3193 4120 4867 6280 6386 8240 9734 12560 12772 15965 16171 19468 24335 25544 31930 32342 38936 48670 51088 63860 64684 77872 80855 97340 127720 129368 161710 194680 255440 258736 323420 389360 501301 646840 1002602 1293680 2005204 2506505 4010408 5013010 8020816 10026020 20052040 40104080