Search a number
-
+
32991090 = 23511257389
BaseRepresentation
bin111110111011…
…0011101110010
32022002010021020
41331312131302
531421203330
63135040310
7550263636
oct175663562
968063236
1032991090
1117693770
12b070096
136ab1572
14454adc6
152d6a210
hex1f76772

32991090 has 64 divisors (see below), whose sum is σ = 86935680. Its totient is φ = 7946240.

The previous prime is 32991083. The next prime is 32991103. The reversal of 32991090 is 9019923.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84616 + ... + 85004.

It is an arithmetic number, because the mean of its divisors is an integer number (1358370).

Almost surely, 232991090 is an apocalyptic number.

32991090 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 32991090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43467840).

32991090 is an abundant number, since it is smaller than the sum of its proper divisors (53944590).

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

32991090 is a wasteful number, since it uses less digits than its factorization.

32991090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667.

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 32991090 is about 5743.7870782264. The cubic root of 32991090 is about 320.7245625921.

It can be divided in two parts, 329 and 91090, that added together give a palindrome (91419).

The spelling of 32991090 in words is "thirty-two million, nine hundred ninety-one thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 257 330 389 514 771 778 1167 1285 1542 1945 2334 2570 2827 3855 3890 4279 5654 5835 7710 8481 8558 11670 12837 14135 16962 21395 25674 28270 42405 42790 64185 84810 99973 128370 199946 299919 499865 599838 999730 1099703 1499595 2199406 2999190 3299109 5498515 6598218 10997030 16495545 32991090