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2813420730 = 235537324239
BaseRepresentation
bin1010011110110001…
…0110010010111010
321021001221120200210
42213230112102322
521230213430410
61143101211550
7126501452541
oct24754262272
97231846623
102813420730
1112141146aa
12666260bb6
1335ab48ac3
141c9919158
15116edb220
hexa7b164ba

2813420730 has 64 divisors (see below), whose sum is σ = 6974138880. Its totient is φ = 725976576.

The previous prime is 2813420699. The next prime is 2813420737. The reversal of 2813420730 is 370243182.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2813420737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103951 + ... + 128189.

It is an arithmetic number, because the mean of its divisors is an integer number (108970920).

Almost surely, 22813420730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813420730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487069440).

2813420730 is an abundant number, since it is smaller than the sum of its proper divisors (4160718150).

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

2813420730 is a wasteful number, since it uses less digits than its factorization.

2813420730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24375.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2813420730 is about 53041.6886043422. The cubic root of 2813420730 is about 1411.7080603119.

The spelling of 2813420730 in words is "two billion, eight hundred thirteen million, four hundred twenty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 73 106 146 159 219 265 318 365 438 530 730 795 1095 1590 2190 3869 7738 11607 19345 23214 24239 38690 48478 58035 72717 116070 121195 145434 242390 363585 727170 1284667 1769447 2569334 3538894 3854001 5308341 6423335 7708002 8847235 10616682 12846670 17694470 19270005 26541705 38540010 53083410 93780691 187561382 281342073 468903455 562684146 937806910 1406710365 2813420730