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31441120 = 2553747113
BaseRepresentation
bin111011111110…
…0000011100000
32012011101002221
41313330003200
531022103440
63041520424
7531150034
oct167740340
965141087
1031441120
11168251a7
12a643114
13668ac19
1442661c4
152b60d4a
hex1dfc0e0

31441120 has 96 divisors (see below), whose sum is σ = 78599808. Its totient is φ = 11870208.

The previous prime is 31441103. The next prime is 31441129. The reversal of 31441120 is 2114413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31441094 and 31441103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441129) by changing a digit.

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, 278184 + ... + 278296.

It is an arithmetic number, because the mean of its divisors is an integer number (818748).

Almost surely, 231441120 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 31441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299904).

31441120 is an abundant number, since it is smaller than the sum of its proper divisors (47158688).

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

31441120 is a wasteful number, since it uses less digits than its factorization.

31441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 31441120 is about 5607.2381793535. The cubic root of 31441120 is about 315.6210808258.

Adding to 31441120 its reverse (2114413), we get a palindrome (33555533).

The spelling of 31441120 in words is "thirty-one million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 47 74 80 94 113 148 160 185 188 226 235 296 370 376 452 470 565 592 740 752 904 940 1130 1184 1480 1504 1739 1808 1880 2260 2960 3478 3616 3760 4181 4520 5311 5920 6956 7520 8362 8695 9040 10622 13912 16724 17390 18080 20905 21244 26555 27824 33448 34780 41810 42488 53110 55648 66896 69560 83620 84976 106220 133792 139120 167240 169952 196507 212440 278240 334480 393014 424880 668960 786028 849760 982535 1572056 1965070 3144112 3930140 6288224 7860280 15720560 31441120