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31227680 = 2551121613
BaseRepresentation
bin111011100011…
…1111100100000
32011202112022202
41313013330200
530443241210
63033152332
7526300541
oct167077440
964675282
1031227680
1116699900
12a55b6a8
136614a23
14420c4c8
152b1c9a5
hex1dc7f20

31227680 has 72 divisors (see below), whose sum is σ = 81142236. Its totient is φ = 11348480.

The previous prime is 31227641. The next prime is 31227689. The reversal of 31227680 is 8672213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31225744 + 1936 = 5588^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (31227689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18554 + ... + 20166.

Almost surely, 231227680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40571118).

31227680 is an abundant number, since it is smaller than the sum of its proper divisors (49914556).

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

31227680 is a wasteful number, since it uses less digits than its factorization.

31227680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 31227680 is about 5588.1732256615. The cubic root of 31227680 is about 314.9052541120.

Adding to 31227680 its reverse (8672213), we get a palindrome (39899893).

The spelling of 31227680 in words is "thirty-one million, two hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1613 1760 1936 2420 3226 3872 4840 6452 8065 9680 12904 16130 17743 19360 25808 32260 35486 51616 64520 70972 88715 129040 141944 177430 195173 258080 283888 354860 390346 567776 709720 780692 975865 1419440 1561384 1951730 2838880 3122768 3903460 6245536 7806920 15613840 31227680