Search a number
-
+
2754234840 = 233577146181
BaseRepresentation
bin1010010000101010…
…0100100111011000
321002221120121220210
42210022210213120
521120041003330
61133144451120
7125152416120
oct24412444730
97087517823
102754234840
11119376a445
1264a479aa0
1334b7c5576
141c1b0dc80
15111be98b0
hexa42a49d8

2754234840 has 128 divisors (see below), whose sum is σ = 9576299520. Its totient is φ = 620659200.

The previous prime is 2754234803. The next prime is 2754234853. The reversal of 2754234840 is 484324572.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 36550 + ... + 82730.

It is an arithmetic number, because the mean of its divisors is an integer number (74814840).

Almost surely, 22754234840 is an apocalyptic number.

2754234840 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 2754234840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788149760).

2754234840 is an abundant number, since it is smaller than the sum of its proper divisors (6822064680).

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

2754234840 is a wasteful number, since it uses less digits than its factorization.

2754234840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46273 (or 46269 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 2754234840 is about 52480.8044907850. The cubic root of 2754234840 is about 1401.7384594104.

The spelling of 2754234840 in words is "two billion, seven hundred fifty-four million, two hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 71 84 105 120 140 142 168 210 213 280 284 355 420 426 497 568 710 840 852 994 1065 1420 1491 1704 1988 2130 2485 2840 2982 3976 4260 4970 5964 7455 8520 9940 11928 14910 19880 29820 46181 59640 92362 138543 184724 230905 277086 323267 369448 461810 554172 646534 692715 923620 969801 1108344 1293068 1385430 1616335 1847240 1939602 2586136 2770860 3232670 3278851 3879204 4849005 5541720 6465340 6557702 7758408 9698010 9836553 12930680 13115404 16394255 19396020 19673106 22951957 26230808 32788510 38792040 39346212 45903914 49182765 65577020 68855871 78692424 91807828 98365530 114759785 131154040 137711742 183615656 196731060 229519570 275423484 344279355 393462120 459039140 550846968 688558710 918078280 1377117420 2754234840