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31041120 = 2535115879
BaseRepresentation
bin111011001101…
…0011001100000
32011102001102010
41312122121200
530421303440
63025152520
7524562615
oct166323140
964361363
1031041120
1116581720
12a48b740
13657ab36
1441a050c
152ad2580
hex1d9a660

31041120 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 7523840.

The previous prime is 31041089. The next prime is 31041121. The reversal of 31041120 is 2114013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×310411202 = 1927102261708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31041096 and 31041105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31041121) 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, 2341 + ... + 8219.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 231041120 is an apocalyptic number.

31041120 is a gapful number since it is divisible by the number (30) 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 31041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

31041120 is an abundant number, since it is smaller than the sum of its proper divisors (75645600).

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

31041120 is a wasteful number, since it uses less digits than its factorization.

31041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 31041120 is about 5571.4558241092. The cubic root of 31041120 is about 314.2769001857.

Adding to 31041120 its reverse (2114013), we get a palindrome (33155133).

It can be divided in two parts, 3104 and 1120, that added together give a palindrome (4224).

The spelling of 31041120 in words is "thirty-one million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 5879 11758 17637 23516 29395 35274 47032 58790 64669 70548 88185 94064 117580 129338 141096 176370 188128 194007 235160 258676 282192 323345 352740 388014 470320 517352 564384 646690 705480 776028 940640 970035 1034704 1293380 1410960 1552056 1940070 2069408 2586760 2821920 3104112 3880140 5173520 6208224 7760280 10347040 15520560 31041120