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31297000 = 2353717263
BaseRepresentation
bin111011101100…
…0110111101000
32011220001102011
41313120313220
531003001000
63034445304
7530006620
oct167306750
964801364
1031297000
1116736999
12a593834
13663a447
144229880
152b332ba
hex1dd8de8

31297000 has 128 divisors (see below), whose sum is σ = 88957440. Its totient is φ = 10060800.

The previous prime is 31296989. The next prime is 31297027. The reversal of 31297000 is 79213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118869 + ... + 119131.

It is an arithmetic number, because the mean of its divisors is an integer number (694980).

Almost surely, 231297000 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 31297000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44478720).

31297000 is an abundant number, since it is smaller than the sum of its proper divisors (57660440).

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

31297000 is a wasteful number, since it uses less digits than its factorization.

31297000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 31297000 is about 5594.3721721030. The cubic root of 31297000 is about 315.1380934791.

The spelling of 31297000 in words is "thirty-one million, two hundred ninety-seven thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 263 280 340 350 425 476 500 526 595 680 700 850 875 952 1000 1052 1190 1315 1400 1700 1750 1841 2104 2125 2380 2630 2975 3400 3500 3682 4250 4471 4760 5260 5950 6575 7000 7364 8500 8942 9205 10520 11900 13150 14728 14875 17000 17884 18410 22355 23800 26300 29750 31297 32875 35768 36820 44710 46025 52600 59500 62594 65750 73640 89420 92050 111775 119000 125188 131500 156485 178840 184100 223550 230125 250376 263000 312970 368200 447100 460250 558875 625940 782425 894200 920500 1117750 1251880 1564850 1841000 2235500 3129700 3912125 4471000 6259400 7824250 15648500 31297000