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31930000 = 245431103
BaseRepresentation
bin111100111001…
…1011010010000
32020002012201121
41321303122100
531133230000
63100212024
7535254244
oct171633220
966065647
1031930000
1117029533
12a83a014
1367cc5bb
144352424
152c0ab1a
hex1e73690

31930000 has 100 divisors (see below), whose sum is σ = 80574208. Its totient is φ = 12240000.

The previous prime is 31929991. The next prime is 31930057. The reversal of 31930000 is 3913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 19 ways as a sum of consecutive naturals, for example, 309949 + ... + 310051.

Almost surely, 231930000 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 31930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40287104).

31930000 is an abundant number, since it is smaller than the sum of its proper divisors (48644208).

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

31930000 is a wasteful number, since it uses less digits than its factorization.

31930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 31930000 is about 5650.6636778347. The cubic root of 31930000 is about 317.2485454023.

Adding to 31930000 its reverse (3913), we get a palindrome (31933913).

The spelling of 31930000 in words is "thirty-one million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 103 124 125 155 200 206 248 250 310 400 412 496 500 515 620 625 775 824 1000 1030 1240 1250 1550 1648 2000 2060 2480 2500 2575 3100 3193 3875 4120 5000 5150 6200 6386 7750 8240 10000 10300 12400 12772 12875 15500 15965 19375 20600 25544 25750 31000 31930 38750 41200 51088 51500 62000 63860 64375 77500 79825 103000 127720 128750 155000 159650 206000 255440 257500 310000 319300 399125 515000 638600 798250 1030000 1277200 1596500 1995625 3193000 3991250 6386000 7982500 15965000 31930000