Search a number
-
+
2730293820 = 2232524162939
BaseRepresentation
bin1010001010111100…
…1111101000111100
321001021112022000100
42202233033220330
521042423400240
61130531401100
7124442054202
oct24257175074
97037468010
102730293820
1111811a8181
12642453190
13346862397
141bc87b072
1510ea6ae30
hexa2bcfa3c

2730293820 has 72 divisors (see below), whose sum is σ = 8316388080. Its totient is φ = 725045760.

The previous prime is 2730293809. The next prime is 2730293831. The reversal of 2730293820 is 283920372.

2730293820 is a `hidden beast` number, since 273 + 0 + 2 + 9 + 382 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2730293809) and next prime (2730293831).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11911 + ... + 74849.

It is an arithmetic number, because the mean of its divisors is an integer number (115505390).

Almost surely, 22730293820 is an apocalyptic number.

2730293820 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 2730293820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158194040).

2730293820 is an abundant number, since it is smaller than the sum of its proper divisors (5586094260).

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

2730293820 is a wasteful number, since it uses less digits than its factorization.

2730293820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63195 (or 63190 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2730293820 is about 52252.2135416290. The cubic root of 2730293820 is about 1397.6651251426.

The spelling of 2730293820 in words is "two billion, seven hundred thirty million, two hundred ninety-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 2169 2410 2892 3615 4338 4820 7230 8676 10845 14460 21690 43380 62939 125878 188817 251756 314695 377634 566451 629390 755268 944085 1132902 1258780 1888170 2265804 2832255 3776340 5664510 11329020 15168299 30336598 45504897 60673196 75841495 91009794 136514691 151682990 182019588 227524485 273029382 303365980 455048970 546058764 682573455 910097940 1365146910 2730293820