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31190712 = 23373153113
BaseRepresentation
bin111011011111…
…0111010111000
32011200122121120
41312332322320
530441100322
63032305240
7526055010
oct166767270
964618546
1031190712
1116674053
12a542220
136600c57
1441dcc40
152b11a5c
hex1dbeeb8

31190712 has 128 divisors (see below), whose sum is σ = 94556160. Its totient is φ = 8386560.

The previous prime is 31190669. The next prime is 31190713. The reversal of 31190712 is 21709113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31190713) by changing a digit.

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, 275968 + ... + 276080.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 231190712 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 31190712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278080).

31190712 is an abundant number, since it is smaller than the sum of its proper divisors (63365448).

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

31190712 is a wasteful number, since it uses less digits than its factorization.

31190712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 31190712 is about 5584.8645462536. The cubic root of 31190712 is about 314.7809411708.

Adding to 31190712 its reverse (21709113), we get a palindrome (52899825).

The spelling of 31190712 in words is "thirty-one million, one hundred ninety thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 53 56 62 84 93 106 113 124 159 168 186 212 217 226 248 318 339 371 372 424 434 452 636 651 678 742 744 791 868 904 1113 1272 1302 1356 1484 1582 1643 1736 2226 2373 2604 2712 2968 3164 3286 3503 4452 4746 4929 5208 5989 6328 6572 7006 8904 9492 9858 10509 11501 11978 13144 14012 17967 18984 19716 21018 23002 23956 24521 28024 34503 35934 39432 41923 42036 46004 47912 49042 69006 71868 73563 83846 84072 92008 98084 125769 138012 143736 147126 167692 185659 196168 251538 276024 294252 335384 371318 503076 556977 588504 742636 1006152 1113954 1299613 1485272 2227908 2599226 3898839 4455816 5198452 7797678 10396904 15595356 31190712