Search a number
-
+
2921400 = 233352541
BaseRepresentation
bin1011001001001110111000
312111102102000
423021032320
51221441100
6142341000
733555126
oct13111670
95442360
102921400
111715989
12b8a760
137b3951
14560916
153ca900
hex2c93b8

2921400 has 96 divisors (see below), whose sum is σ = 10081200. Its totient is φ = 777600.

The previous prime is 2921371. The next prime is 2921417. The reversal of 2921400 is 41292.

2921400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5130 + ... + 5670.

22921400 is an apocalyptic number.

2921400 is a gapful number since it is divisible by the number (20) 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 2921400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040600).

2921400 is an abundant number, since it is smaller than the sum of its proper divisors (7159800).

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

2921400 is a wasteful number, since it uses less digits than its factorization.

2921400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2921400 is about 1709.2103439893. The cubic root of 2921400 is about 142.9542292428.

Adding to 2921400 its reverse (41292), we get a palindrome (2962692).

It can be divided in two parts, 2921 and 400, that added together give a triangular number (3321 = T81).

The spelling of 2921400 in words is "two million, nine hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 541 600 675 900 1080 1082 1350 1623 1800 2164 2700 2705 3246 4328 4869 5400 5410 6492 8115 9738 10820 12984 13525 14607 16230 19476 21640 24345 27050 29214 32460 38952 40575 48690 54100 58428 64920 73035 81150 97380 108200 116856 121725 146070 162300 194760 243450 292140 324600 365175 486900 584280 730350 973800 1460700 2921400