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31214640 = 2435831567
BaseRepresentation
bin111011100010…
…0110000110000
32011201212102210
41313010300300
530442332030
63033012120
7526214532
oct167046060
964655383
1031214640
1116690026
12a554040
13660bb02
144207852
152b18bb0
hex1dc4c30

31214640 has 80 divisors (see below), whose sum is σ = 97993728. Its totient is φ = 8218368.

The previous prime is 31214639. The next prime is 31214641. The reversal of 31214640 is 4641213.

It is an interprime number because it is at equal distance from previous prime (31214639) and next prime (31214641).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19137 + ... + 20703.

Almost surely, 231214640 is an apocalyptic number.

31214640 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 31214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48996864).

31214640 is an abundant number, since it is smaller than the sum of its proper divisors (66779088).

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

31214640 is a wasteful number, since it uses less digits than its factorization.

31214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 31214640 is about 5587.0063540325. The cubic root of 31214640 is about 314.8614154810.

Adding to 31214640 its reverse (4641213), we get a palindrome (35855853).

The spelling of 31214640 in words is "thirty-one million, two hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1567 1660 1992 2490 3134 3320 3984 4701 4980 6268 6640 7835 9402 9960 12536 15670 18804 19920 23505 25072 31340 37608 47010 62680 75216 94020 125360 130061 188040 260122 376080 390183 520244 650305 780366 1040488 1300610 1560732 1950915 2080976 2601220 3121464 3901830 5202440 6242928 7803660 10404880 15607320 31214640