Search a number
-
+
96022400 = 275237811
BaseRepresentation
bin1011011100100…
…10111110000000
320200200102222012
411232102332000
5144040204100
613310032052
72244114455
oct556227600
9220612865
1096022400
114a225061
12281a8628
1316b801b6
14ca7782c
15866b135
hex5b92f80

96022400 has 96 divisors (see below), whose sum is σ = 243916680. Its totient is φ = 37324800.

The previous prime is 96022391. The next prime is 96022403. The reversal of 96022400 is 422069.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96022403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117995 + ... + 118805.

Almost surely, 296022400 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 96022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121958340).

96022400 is an abundant number, since it is smaller than the sum of its proper divisors (147894280).

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

96022400 is a wasteful number, since it uses less digits than its factorization.

96022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 96022400 is about 9799.1019996732. The cubic root of 96022400 is about 457.9213075838.

Adding to 96022400 its reverse (422069), we get a palindrome (96444469).

The spelling of 96022400 in words is "ninety-six million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 128 148 160 185 200 296 320 370 400 592 640 740 800 811 925 1184 1480 1600 1622 1850 2368 2960 3200 3244 3700 4055 4736 5920 6488 7400 8110 11840 12976 14800 16220 20275 23680 25952 29600 30007 32440 40550 51904 59200 60014 64880 81100 103808 118400 120028 129760 150035 162200 240056 259520 300070 324400 480112 519040 600140 648800 750175 960224 1200280 1297600 1500350 1920448 2400560 2595200 3000700 3840896 4801120 6001400 9602240 12002800 19204480 24005600 48011200 96022400