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31142940 = 22356167127
BaseRepresentation
bin111011011001…
…1010000011100
32011121020002020
41312303100130
530433033230
63031300140
7525465513
oct166632034
964536066
1031142940
1116641174
12a51a650
1365b529a
1441c967a
152b02810
hex1db341c

31142940 has 96 divisors (see below), whose sum is σ = 90660864. Its totient is φ = 7983360.

The previous prime is 31142939. The next prime is 31142953. The reversal of 31142940 is 4924113.

It is a self number, because there is not a number n which added to its sum of digits gives 31142940.

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 31 ways as a sum of consecutive naturals, for example, 245157 + ... + 245283.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 231142940 is an apocalyptic number.

31142940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45330432).

31142940 is an abundant number, since it is smaller than the sum of its proper divisors (59517924).

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

31142940 is a wasteful number, since it uses less digits than its factorization.

31142940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 31142940 is about 5580.5859907361. The cubic root of 31142940 is about 314.6201518631.

The spelling of 31142940 in words is "thirty-one million, one hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 67 122 127 134 183 201 244 254 268 305 335 366 381 402 508 610 635 670 732 762 804 915 1005 1220 1270 1340 1524 1830 1905 2010 2540 3660 3810 4020 4087 7620 7747 8174 8509 12261 15494 16348 17018 20435 23241 24522 25527 30988 34036 38735 40870 42545 46482 49044 51054 61305 77470 81740 85090 92964 102108 116205 122610 127635 154940 170180 232410 245220 255270 464820 510540 519049 1038098 1557147 2076196 2595245 3114294 5190490 6228588 7785735 10380980 15571470 31142940