Search a number
-
+
32796090 = 2345192131
BaseRepresentation
bin111110100011…
…0110110111010
32021201012210000
41331012312322
531343433330
63130533430
7545522265
oct175066672
967635700
1032796090
1117570208
12ab97276
136a43892
1444d9cdc
152d2c560
hex1f46dba

32796090 has 80 divisors (see below), whose sum is σ = 92869920. Its totient is φ = 8281440.

The previous prime is 32796079. The next prime is 32796119. The reversal of 32796090 is 9069723.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14325 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (1160874).

Almost surely, 232796090 is an apocalyptic number.

32796090 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 32796090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46434960).

32796090 is an abundant number, since it is smaller than the sum of its proper divisors (60073830).

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

32796090 is a wasteful number, since it uses less digits than its factorization.

32796090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 32796090 is about 5726.7870573298. The cubic root of 32796090 is about 320.0914126862.

The spelling of 32796090 in words is "thirty-two million, seven hundred ninety-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2131 2565 3078 4262 5130 6393 7695 10655 12786 15390 19179 21310 31965 38358 40489 57537 63930 80978 95895 115074 121467 172611 191790 202445 242934 287685 345222 364401 404890 575370 607335 728802 863055 1093203 1214670 1726110 1822005 2186406 3279609 3644010 5466015 6559218 10932030 16398045 32796090