Search a number
-
+
32668500 = 2235329751
BaseRepresentation
bin111110010011…
…1101101010100
32021110201202110
41330213231110
531330343000
63124111020
7544451304
oct174475524
967421673
1032668500
1117493367
12ab35470
1369ca797
1444a5604
152d04850
hex1f27b54

32668500 has 96 divisors (see below), whose sum is σ = 98542080. Its totient is φ = 8400000.

The previous prime is 32668457. The next prime is 32668501. The reversal of 32668500 is 586623.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32668501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43125 + ... + 43875.

It is an arithmetic number, because the mean of its divisors is an integer number (1026480).

Almost surely, 232668500 is an apocalyptic number.

32668500 is a gapful number since it is divisible by the number (30) 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 32668500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49271040).

32668500 is an abundant number, since it is smaller than the sum of its proper divisors (65873580).

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

32668500 is a wasteful number, since it uses less digits than its factorization.

32668500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 32668500 is about 5715.6364475008. The cubic root of 32668500 is about 319.6757783828.

The spelling of 32668500 in words is "thirty-two million, six hundred sixty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 751 870 1450 1500 1502 1740 2175 2253 2900 3004 3625 3755 4350 4506 7250 7510 8700 9012 10875 11265 14500 15020 18775 21750 21779 22530 37550 43500 43558 45060 56325 65337 75100 87116 93875 108895 112650 130674 187750 217790 225300 261348 281625 326685 375500 435580 544475 563250 653370 1088950 1126500 1306740 1633425 2177900 2722375 3266850 5444750 6533700 8167125 10889500 16334250 32668500