Search a number
-
+
32413290 = 23571331383
BaseRepresentation
bin111101110100…
…1011001101010
32020222202200020
41323221121222
531244211130
63114421310
7542336250
oct173513152
966882606
1032413290
1117329648
12aa31836
13693b580
14443a5d0
152ca3e10
hex1ee966a

32413290 has 128 divisors (see below), whose sum is σ = 99090432. Its totient is φ = 6600960.

The previous prime is 32413289. The next prime is 32413291. The reversal of 32413290 is 9231423.

It is an interprime number because it is at equal distance from previous prime (32413289) and next prime (32413291).

It is a self number, because there is not a number n which added to its sum of digits gives 32413290.

It is not an unprimeable number, because it can be changed into a prime (32413291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84439 + ... + 84821.

It is an arithmetic number, because the mean of its divisors is an integer number (774144).

Almost surely, 232413290 is an apocalyptic number.

32413290 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 32413290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49545216).

32413290 is an abundant number, since it is smaller than the sum of its proper divisors (66677142).

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

32413290 is a wasteful number, since it uses less digits than its factorization.

32413290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 32413290 is about 5693.2670761172. The cubic root of 32413290 is about 318.8411534765.

The spelling of 32413290 in words is "thirty-two million, four hundred thirteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 383 390 403 434 455 465 546 651 766 806 910 930 1085 1149 1209 1302 1365 1915 2015 2170 2298 2418 2681 2730 2821 3255 3830 4030 4979 5362 5642 5745 6045 6510 8043 8463 9958 11490 11873 12090 13405 14105 14937 16086 16926 23746 24895 26810 28210 29874 34853 35619 40215 42315 49790 59365 69706 71238 74685 80430 83111 84630 104559 118730 149370 154349 166222 174265 178095 209118 249333 308698 348530 356190 415555 463047 498666 522795 771745 831110 926094 1045590 1080443 1246665 1543490 2160886 2315235 2493330 3241329 4630470 5402215 6482658 10804430 16206645 32413290