Search a number
-
+
273074040 = 233253124469
BaseRepresentation
bin10000010001101…
…100011101111000
3201000211121011100
4100101230131320
51024401332130
643032531400
76524043141
oct2021543570
9630747140
10273074040
11130163628
1277550b60
1344761095
14283a4ac8
1518e90c60
hex1046c778

273074040 has 96 divisors (see below), whose sum is σ = 916156800. Its totient is φ = 70467840.

The previous prime is 273074029. The next prime is 273074051. The reversal of 273074040 is 40470372.

It is an interprime number because it is at equal distance from previous prime (273074029) and next prime (273074051).

It is a junction number, because it is equal to n+sod(n) for n = 273073995 and 273074013.

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 23 ways as a sum of consecutive naturals, for example, 1075 + ... + 23394.

It is an arithmetic number, because the mean of its divisors is an integer number (9543300).

Almost surely, 2273074040 is an apocalyptic number.

273074040 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 273074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458078400).

273074040 is an abundant number, since it is smaller than the sum of its proper divisors (643082760).

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

273074040 is a wasteful number, since it uses less digits than its factorization.

273074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24517 (or 24510 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 273074040 is about 16524.9520422905. The cubic root of 273074040 is about 648.7740521449.

The spelling of 273074040 in words is "two hundred seventy-three million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 24469 48938 73407 97876 122345 146814 195752 220221 244690 293628 367035 440442 489380 587256 734070 758539 880884 978760 1101105 1468140 1517078 1761768 2202210 2275617 2936280 3034156 3792695 4404420 4551234 6068312 6826851 7585390 8808840 9102468 11378085 13653702 15170780 18204936 22756170 27307404 30341560 34134255 45512340 54614808 68268510 91024680 136537020 273074040