Search a number
-
+
96272000 = 275311547
BaseRepresentation
bin1011011110011…
…11111010000000
320201011010100122
411233033322000
5144121201000
613315235412
72246204246
oct557177200
9221133318
1096272000
114a385640
12282a8b68
1316c399a6
14cb00796
1586ba085
hex5bcfe80

96272000 has 128 divisors (see below), whose sum is σ = 261593280. Its totient is φ = 34944000.

The previous prime is 96271991. The next prime is 96272017. The reversal of 96272000 is 27269.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175727 + ... + 176273.

Almost surely, 296272000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130796640).

96272000 is an abundant number, since it is smaller than the sum of its proper divisors (165321280).

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

96272000 is a wasteful number, since it uses less digits than its factorization.

96272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 96272000 is about 9811.8295949328. The cubic root of 96272000 is about 458.3177368430.

Adding to 96272000 its reverse (27269), we get a palindrome (96299269).

The spelling of 96272000 in words is "ninety-six million, two hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 547 550 640 704 800 880 1000 1094 1100 1375 1408 1600 1760 2000 2188 2200 2735 2750 3200 3520 4000 4376 4400 5470 5500 6017 7040 8000 8752 8800 10940 11000 12034 13675 16000 17504 17600 21880 22000 24068 27350 30085 35008 35200 43760 44000 48136 54700 60170 68375 70016 87520 88000 96272 109400 120340 136750 150425 175040 176000 192544 218800 240680 273500 300850 350080 385088 437600 481360 547000 601700 752125 770176 875200 962720 1094000 1203400 1504250 1750400 1925440 2188000 2406800 3008500 3850880 4376000 4813600 6017000 8752000 9627200 12034000 19254400 24068000 48136000 96272000