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31663104 = 210311937
BaseRepresentation
bin111100011001…
…0010000000000
32012120122121120
41320302100000
531101204404
63050352240
7533063154
oct170622000
965518546
1031663104
1116966a60
12a72b680
136737c85
1442c3064
152ba69d9
hex1e32400

31663104 has 88 divisors (see below), whose sum is σ = 92164128. Its totient is φ = 9584640.

The previous prime is 31663103. The next prime is 31663133. The reversal of 31663104 is 40136613.

It is a tau number, because it is divible by the number of its divisors (88).

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

It is not an unprimeable number, because it can be changed into a prime (31663103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33324 + ... + 34260.

Almost surely, 231663104 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 31663104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46082064).

31663104 is an abundant number, since it is smaller than the sum of its proper divisors (60501024).

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

31663104 is a wasteful number, since it uses less digits than its factorization.

31663104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 31663104 is about 5626.9977785672. The cubic root of 31663104 is about 316.3621335760.

Adding to 31663104 its reverse (40136613), we get a palindrome (71799717).

The spelling of 31663104 in words is "thirty-one million, six hundred sixty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 937 1024 1056 1408 1536 1874 2112 2811 2816 3072 3748 4224 5622 5632 7496 8448 10307 11244 11264 14992 16896 20614 22488 29984 30921 33792 41228 44976 59968 61842 82456 89952 119936 123684 164912 179904 239872 247368 329824 359808 479744 494736 659648 719616 959488 989472 1319296 1439232 1978944 2638592 2878464 3957888 5277184 7915776 10554368 15831552 31663104