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31438540 = 22571953223
BaseRepresentation
bin111011111101…
…1011011001100
32012011020120101
41313323123030
531022013130
63041500444
7531136360
oct167733314
965136511
1031438540
1116823271
12a641724
1366899b3
1442652a0
152b601ca
hex1dfb6cc

31438540 has 96 divisors (see below), whose sum is σ = 81285120. Its totient is φ = 9974016.

The previous prime is 31438529. The next prime is 31438571. The reversal of 31438540 is 4583413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 31438499 and 31438508.

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, 140869 + ... + 141091.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 231438540 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 31438540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40642560).

31438540 is an abundant number, since it is smaller than the sum of its proper divisors (49846580).

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

31438540 is a wasteful number, since it uses less digits than its factorization.

31438540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 31438540 is about 5607.0081148506. The cubic root of 31438540 is about 315.6124474961.

The spelling of 31438540 in words is "thirty-one million, four hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 53 70 76 95 106 133 140 190 212 223 265 266 371 380 446 530 532 665 742 892 1007 1060 1115 1330 1484 1561 1855 2014 2230 2660 3122 3710 4028 4237 4460 5035 6244 7049 7420 7805 8474 10070 11819 14098 15610 16948 20140 21185 23638 28196 29659 31220 35245 42370 47276 59095 59318 70490 82733 84740 118190 118636 140980 148295 165466 224561 236380 296590 330932 413665 449122 593180 827330 898244 1122805 1571927 1654660 2245610 3143854 4491220 6287708 7859635 15719270 31438540