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80007040 = 275149839
BaseRepresentation
bin1001100010011…
…00111110000000
312120112210000201
410301030332000
5130440211130
611534454544
71661022451
oct461147600
9176483021
1080007040
1141186523
1222964454
1313763659
14a8a9128
157055bca
hex4c4cf80

80007040 has 64 divisors (see below), whose sum is σ = 192780000. Its totient is φ = 31750144.

The previous prime is 80007023. The next prime is 80007073. The reversal of 80007040 is 4070008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×800070402 = 12802252899123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80006999 and 80007017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 94941 + ... + 95779.

Almost surely, 280007040 is an apocalyptic number.

80007040 is a gapful number since it is divisible by the number (80) 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 80007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390000).

80007040 is an abundant number, since it is smaller than the sum of its proper divisors (112772960).

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

80007040 is a wasteful number, since it uses less digits than its factorization.

80007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 80007040 is about 8944.6654493055. The cubic root of 80007040 is about 430.8995769858.

Adding to 80007040 its reverse (4070008), we get a palindrome (84077048).

The spelling of 80007040 in words is "eighty million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 149 160 298 320 596 640 745 839 1192 1490 1678 2384 2980 3356 4195 4768 5960 6712 8390 9536 11920 13424 16780 19072 23840 26848 33560 47680 53696 67120 95360 107392 125011 134240 250022 268480 500044 536960 625055 1000088 1250110 2000176 2500220 4000352 5000440 8000704 10000880 16001408 20001760 40003520 80007040