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31269690 = 23251572213
BaseRepresentation
bin111011101001…
…0001100111010
32011211122221200
41313102030322
531001112230
63034115030
7526534164
oct167221472
964748850
1031269690
1116718421
12a57ba76
13662ab9a
14421d934
152b2a160
hex1dd233a

31269690 has 48 divisors (see below), whose sum is σ = 81856008. Its totient is φ = 8281728.

The previous prime is 31269683. The next prime is 31269691. The reversal of 31269690 is 9696213.

It can be written as a sum of positive squares in 4 ways, for example, as 29778849 + 1490841 = 5457^2 + 1221^2 .

It is a super-3 number, since 3×312696903 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (31269691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13024 + ... + 15236.

Almost surely, 231269690 is an apocalyptic number.

31269690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31269690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40928004).

31269690 is an abundant number, since it is smaller than the sum of its proper divisors (50586318).

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

31269690 is a wasteful number, since it uses less digits than its factorization.

31269690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 31269690 is about 5591.9307935632. The cubic root of 31269690 is about 315.0464028390.

The spelling of 31269690 in words is "thirty-one million, two hundred sixty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2213 2355 2826 4426 4710 6639 7065 11065 13278 14130 19917 22130 33195 39834 66390 99585 199170 347441 694882 1042323 1737205 2084646 3126969 3474410 5211615 6253938 10423230 15634845 31269690