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31896080 = 2451747499
BaseRepresentation
bin111100110101…
…1001000010000
32020000111012022
41321223020100
531131133310
63055351012
7535053326
oct171531020
966014168
1031896080
1117005aa7
12a822468
1367ba028
144343d16
152c00a55
hex1e6b210

31896080 has 80 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 11728896.

The previous prime is 31896071. The next prime is 31896083. The reversal of 31896080 is 8069813.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31896080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31896083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63671 + ... + 64169.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 231896080 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 31896080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

31896080 is an abundant number, since it is smaller than the sum of its proper divisors (48455920).

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

31896080 is a wasteful number, since it uses less digits than its factorization.

31896080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 31896080 is about 5647.6614629420. The cubic root of 31896080 is about 317.1361653679.

The spelling of 31896080 in words is "thirty-one million, eight hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 47 68 80 85 94 136 170 188 235 272 340 376 470 499 680 752 799 940 998 1360 1598 1880 1996 2495 3196 3760 3992 3995 4990 6392 7984 7990 8483 9980 12784 15980 16966 19960 23453 31960 33932 39920 42415 46906 63920 67864 84830 93812 117265 135728 169660 187624 234530 339320 375248 398701 469060 678640 797402 938120 1594804 1876240 1993505 3189608 3987010 6379216 7974020 15948040 31896080