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80406240 = 25351271319
BaseRepresentation
bin1001100101011…
…10011011100000
312121022001121220
410302232123200
5131040444430
611551215040
71664304345
oct462563340
9177261556
1080406240
1141429442
1222b17480
1313873275
14a9707cc
1570d4110
hex4cae6e0

80406240 has 96 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 21256704.

The previous prime is 80406239. The next prime is 80406301. The reversal of 80406240 is 4260408.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 80406240.

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 15 ways as a sum of consecutive naturals, for example, 60301 + ... + 61619.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 280406240 is an apocalyptic number.

80406240 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 80406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127733760).

80406240 is an abundant number, since it is smaller than the sum of its proper divisors (175061280).

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

80406240 is a wasteful number, since it uses less digits than its factorization.

80406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 80406240 is about 8966.9526596275. The cubic root of 80406240 is about 431.6150548915.

Adding to 80406240 its reverse (4260408), we get a palindrome (84666648).

The spelling of 80406240 in words is "eighty million, four hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 480 508 635 762 1016 1270 1319 1524 1905 2032 2540 2638 3048 3810 3957 4064 5080 5276 6096 6595 7620 7914 10160 10552 12192 13190 15240 15828 19785 20320 21104 26380 30480 31656 39570 42208 52760 60960 63312 79140 105520 126624 158280 167513 211040 316560 335026 502539 633120 670052 837565 1005078 1340104 1675130 2010156 2512695 2680208 3350260 4020312 5025390 5360416 6700520 8040624 10050780 13401040 16081248 20101560 26802080 40203120 80406240