Search a number
-
+
31430124 = 223211139571
BaseRepresentation
bin111011111100…
…1010111101100
32012010211000200
41313321113230
531021230444
63041353500
7531103005
oct167712754
965124020
1031430124
1116817a10
12a638890
136685c0b
1442621ac
152b5c969
hex1df95ec

31430124 has 72 divisors (see below), whose sum is σ = 87447360. Its totient is φ = 9439200.

The previous prime is 31430117. The next prime is 31430143. The reversal of 31430124 is 42103413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31430097 and 31430106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54759 + ... + 55329.

Almost surely, 231430124 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 31430124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43723680).

31430124 is an abundant number, since it is smaller than the sum of its proper divisors (56017236).

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

31430124 is a wasteful number, since it uses less digits than its factorization.

31430124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31430124 is about 5606.2575752457. The cubic root of 31430124 is about 315.5842821571.

Adding to 31430124 its reverse (42103413), we get a palindrome (73533537).

Subtracting 31430124 from its reverse (42103413), we obtain a square (10673289 = 32672).

The spelling of 31430124 in words is "thirty-one million, four hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 139 198 278 396 417 556 571 834 1142 1251 1529 1668 1713 2284 2502 3058 3426 4587 5004 5139 6116 6281 6852 9174 10278 12562 13761 18348 18843 20556 25124 27522 37686 55044 56529 75372 79369 113058 158738 226116 238107 317476 476214 714321 873059 952428 1428642 1746118 2619177 2857284 3492236 5238354 7857531 10476708 15715062 31430124