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13312950 = 2352731409
BaseRepresentation
bin110010110010…
…001110110110
3221001100221020
4302302032312
511402003300
61153202010
7221105160
oct62621666
927040836
1013312950
117573242
124560306
1329b17b1
141aa7930
15127e8a0
hexcb23b6

13312950 has 96 divisors (see below), whose sum is σ = 39045120. Its totient is φ = 2937600.

The previous prime is 13312931. The next prime is 13312963. The reversal of 13312950 is 5921331.

13312950 = T400 + T401 + ... + T523.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13312950.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 32346 + ... + 32754.

It is an arithmetic number, because the mean of its divisors is an integer number (406720).

Almost surely, 213312950 is an apocalyptic number.

13312950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19522560).

13312950 is an abundant number, since it is smaller than the sum of its proper divisors (25732170).

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

13312950 is a wasteful number, since it uses less digits than its factorization.

13312950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 13312950 is about 3648.6915462944. The cubic root of 13312950 is about 237.0053231014.

The spelling of 13312950 in words is "thirteen million, three hundred twelve thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 150 155 175 186 210 217 310 350 409 434 465 525 651 775 818 930 1050 1085 1227 1302 1550 2045 2170 2325 2454 2863 3255 4090 4650 5425 5726 6135 6510 8589 10225 10850 12270 12679 14315 16275 17178 20450 25358 28630 30675 32550 38037 42945 61350 63395 71575 76074 85890 88753 126790 143150 177506 190185 214725 266259 316975 380370 429450 443765 532518 633950 887530 950925 1331295 1901850 2218825 2662590 4437650 6656475 13312950