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31423120 = 2451013889
BaseRepresentation
bin111011111011…
…1101010010000
32012010110102021
41313313222100
531021014440
63041301224
7531043411
oct167675220
965113367
1031423120
1116812723
12a634814
136682981
14425d808
152b5a84a
hex1df7a90

31423120 has 40 divisors (see below), whose sum is σ = 73801080. Its totient is φ = 12441600.

The previous prime is 31423111. The next prime is 31423127. The reversal of 31423120 is 2132413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 17405584 = 3744^2 + 4172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 31423094 and 31423103.

It is not an unprimeable number, because it can be changed into a prime (31423127) 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, 6136 + ... + 10024.

It is an arithmetic number, because the mean of its divisors is an integer number (1845027).

Almost surely, 231423120 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 31423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36900540).

31423120 is an abundant number, since it is smaller than the sum of its proper divisors (42377960).

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

31423120 is a wasteful number, since it uses less digits than its factorization.

31423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31423120 is about 5605.6328813079. The cubic root of 31423120 is about 315.5608384430.

Adding to 31423120 its reverse (2132413), we get a palindrome (33555533).

The spelling of 31423120 in words is "thirty-one million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 3889 4040 7778 8080 15556 19445 31112 38890 62224 77780 155560 311120 392789 785578 1571156 1963945 3142312 3927890 6284624 7855780 15711560 31423120