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31432140 = 223253143131
BaseRepresentation
bin111011111100…
…1110111001100
32012010220210100
41313321313030
531021312030
63041411100
7531111615
oct167716714
965126710
1031432140
1116819483
12a639a90
136686acc
144262c0c
152b5d360
hex1df9dcc

31432140 has 144 divisors (see below), whose sum is σ = 101477376. Its totient is φ = 7862400.

The previous prime is 31432111. The next prime is 31432153. The reversal of 31432140 is 4123413.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 239875 + ... + 240005.

It is an arithmetic number, because the mean of its divisors is an integer number (704704).

Almost surely, 231432140 is an apocalyptic number.

31432140 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 31432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50738688).

31432140 is an abundant number, since it is smaller than the sum of its proper divisors (70045236).

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

31432140 is a wasteful number, since it uses less digits than its factorization.

31432140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31432140 is about 5606.4373714508. The cubic root of 31432140 is about 315.5910294452.

Adding to 31432140 its reverse (4123413), we get a palindrome (35555553).

The spelling of 31432140 in words is "thirty-one million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 43 45 60 62 86 90 93 124 129 131 155 172 180 186 215 258 262 279 310 372 387 393 430 465 516 524 558 620 645 655 774 786 860 930 1116 1179 1290 1310 1333 1395 1548 1572 1860 1935 1965 2358 2580 2620 2666 2790 3870 3930 3999 4061 4716 5332 5580 5633 5895 6665 7740 7860 7998 8122 11266 11790 11997 12183 13330 15996 16244 16899 19995 20305 22532 23580 23994 24366 26660 28165 33798 36549 39990 40610 47988 48732 50697 56330 59985 60915 67596 73098 79980 81220 84495 101394 112660 119970 121830 146196 168990 174623 182745 202788 239940 243660 253485 337980 349246 365490 506970 523869 698492 730980 873115 1013940 1047738 1571607 1746230 2095476 2619345 3143214 3492460 5238690 6286428 7858035 10477380 15716070 31432140