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31669056 = 263441149
BaseRepresentation
bin111100011001…
…1101101000000
32012120221210000
41320303231000
531101402211
63050440000
7533116416
oct170635500
965527700
1031669056
1116970481
12a733000
13673a8b3
1442c52b6
152ba8656
hex1e33b40

31669056 has 140 divisors (see below), whose sum is σ = 96812100. Its totient is φ = 10229760.

The previous prime is 31669051. The next prime is 31669061. The reversal of 31669056 is 65096613.

It is an interprime number because it is at equal distance from previous prime (31669051) and next prime (31669061).

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 29160000 = 1584^2 + 5400^2 .

It is a super-2 number, since 2×316690562 = 2005858215862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 31669056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31669051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212470 + ... + 212618.

It is an arithmetic number, because the mean of its divisors is an integer number (691515).

Almost surely, 231669056 is an apocalyptic number.

31669056 is a gapful number since it is divisible by the number (36) 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 31669056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48406050).

31669056 is an abundant number, since it is smaller than the sum of its proper divisors (65143044).

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

31669056 is a wasteful number, since it uses less digits than its factorization.

31669056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 31669056 is about 5627.5266325447. The cubic root of 31669056 is about 316.3819554844.

The spelling of 31669056 in words is "thirty-one million, six hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 144 149 162 164 192 216 246 288 298 324 328 369 432 447 492 576 596 648 656 738 864 894 984 1107 1192 1296 1312 1341 1476 1728 1788 1968 2214 2384 2592 2624 2682 2952 3321 3576 3936 4023 4428 4768 5184 5364 5904 6109 6642 7152 7872 8046 8856 9536 10728 11808 12069 12218 13284 14304 16092 17712 18327 21456 23616 24138 24436 26568 28608 32184 35424 36654 42912 48276 48872 53136 54981 64368 70848 73308 85824 96552 97744 106272 109962 128736 146616 164943 193104 195488 212544 219924 257472 293232 329886 386208 390976 439848 494829 586464 659772 772416 879696 989658 1172928 1319544 1759392 1979316 2639088 3518784 3958632 5278176 7917264 10556352 15834528 31669056