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31141032 = 23313151661
BaseRepresentation
bin111011011001…
…0110010101000
32011121010110120
41312302302220
530433003112
63031243240
7525460116
oct166626250
964533416
1031141032
111663a79a
12a519520
1365b4460
1441c8ab6
152b01e8c
hex1db2ca8

31141032 has 64 divisors (see below), whose sum is σ = 84524160. Its totient is φ = 9504000.

The previous prime is 31141007. The next prime is 31141067. The reversal of 31141032 is 23014113.

It is a congruent number.

It is an unprimeable number.

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, 46782 + ... + 47442.

It is an arithmetic number, because the mean of its divisors is an integer number (1320690).

Almost surely, 231141032 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 31141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42262080).

31141032 is an abundant number, since it is smaller than the sum of its proper divisors (53383128).

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

31141032 is a wasteful number, since it uses less digits than its factorization.

31141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 31141032 is about 5580.4150383282. The cubic root of 31141032 is about 314.6137265705.

Adding to 31141032 its reverse (23014113), we get a palindrome (54155145).

The spelling of 31141032 in words is "thirty-one million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 151 156 302 312 453 604 661 906 1208 1322 1812 1963 1983 2644 3624 3926 3966 5288 5889 7852 7932 8593 11778 15704 15864 17186 23556 25779 34372 47112 51558 68744 99811 103116 199622 206232 299433 399244 598866 798488 1197732 1297543 2395464 2595086 3892629 5190172 7785258 10380344 15570516 31141032