Search a number
-
+
31029750 = 233534597
BaseRepresentation
bin111011001011…
…1100111110110
32011101110211000
41312113213312
530420423000
63025024130
7524514513
oct166274766
964343730
1031029750
1116574124
12a485046
1365758cb
14419a30a
152ace000
hex1d979f6

31029750 has 64 divisors (see below), whose sum is σ = 86074560. Its totient is φ = 8272800.

The previous prime is 31029749. The next prime is 31029763. The reversal of 31029750 is 5792013.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4452 + ... + 9048.

It is an arithmetic number, because the mean of its divisors is an integer number (1344915).

Almost surely, 231029750 is an apocalyptic number.

31029750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31029750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43037280).

31029750 is an abundant number, since it is smaller than the sum of its proper divisors (55044810).

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

31029750 is a wasteful number, since it uses less digits than its factorization.

31029750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 31029750 is about 5570.4353510296. The cubic root of 31029750 is about 314.2385235127.

The spelling of 31029750 in words is "thirty-one million, twenty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1125 1350 2250 3375 4597 6750 9194 13791 22985 27582 41373 45970 68955 82746 114925 124119 137910 206865 229850 248238 344775 413730 574625 620595 689550 1034325 1149250 1241190 1723875 2068650 3102975 3447750 5171625 6205950 10343250 15514875 31029750