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80136240 = 24353110771
BaseRepresentation
bin1001100011011…
…00100000110000
312120210100020220
410301230200300
5131003324430
611541333040
71662101232
oct461544060
9176710226
1080136240
11412645a8
1222a07180
13137aa3c2
14a900252
15707e110
hex4c6c830

80136240 has 80 divisors (see below), whose sum is σ = 256459776. Its totient is φ = 20678400.

The previous prime is 80136227. The next prime is 80136247. The reversal of 80136240 is 4263108.

It is a happy number.

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

It is a super-2 number, since 2×801362402 = 12843633922675200, which contains 22 as substring.

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 80136240.

It is not an unprimeable number, because it can be changed into a prime (80136247) 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, 2055 + ... + 12825.

Almost surely, 280136240 is an apocalyptic number.

80136240 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 80136240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128229888).

80136240 is an abundant number, since it is smaller than the sum of its proper divisors (176323536).

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

80136240 is a wasteful number, since it uses less digits than its factorization.

80136240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 80136240 is about 8951.8847177564. The cubic root of 80136240 is about 431.1313994381.

Adding to 80136240 its reverse (4263108), we get a palindrome (84399348).

The spelling of 80136240 in words is "eighty million, one hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 10771 21542 32313 43084 53855 64626 86168 107710 129252 161565 172336 215420 258504 323130 333901 430840 517008 646260 667802 861680 1001703 1292520 1335604 1669505 2003406 2585040 2671208 3339010 4006812 5008515 5342416 6678020 8013624 10017030 13356040 16027248 20034060 26712080 40068120 80136240