Search a number
-
+
2546340 = 223531372
BaseRepresentation
bin1001101101101010100100
311210100220220
421231222210
51122440330
6130324340
730433506
oct11555244
94710826
102546340
11148a115
12a296b0
136b2014
144a3d76
15354710
hex26daa4

2546340 has 72 divisors (see below), whose sum is σ = 7564032. Its totient is φ = 639360.

The previous prime is 2546339. The next prime is 2546351. The reversal of 2546340 is 436452.

2546340 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2546340.

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, 68802 + ... + 68838.

It is an arithmetic number, because the mean of its divisors is an integer number (105056).

22546340 is an apocalyptic number.

2546340 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 2546340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782016).

2546340 is an abundant number, since it is smaller than the sum of its proper divisors (5017692).

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

2546340 is a wasteful number, since it uses less digits than its factorization.

2546340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2546340 is about 1595.7255403107. The cubic root of 2546340 is about 136.5543263474.

The spelling of 2546340 in words is "two million, five hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1369 1860 2220 2294 2738 3441 4107 4588 5476 5735 6845 6882 8214 11470 13690 13764 16428 17205 20535 22940 27380 34410 41070 42439 68820 82140 84878 127317 169756 212195 254634 424390 509268 636585 848780 1273170 2546340