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2739220704 = 2532113723369
BaseRepresentation
bin1010001101000101…
…0011000011100000
321001220022211101200
42203101103003200
521102220030304
61131451001200
7124610664123
oct24321230340
97056284350
102739220704
111186245070
12645439200
1334866966c
141bdb223ba
15110730e39
hexa34530e0

2739220704 has 144 divisors (see below), whose sum is σ = 8727853680. Its totient is φ = 807598080.

The previous prime is 2739220703. The next prime is 2739220721. The reversal of 2739220704 is 4070229372.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2739220703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105532 + ... + 128900.

It is an arithmetic number, because the mean of its divisors is an integer number (60610095).

Almost surely, 22739220704 is an apocalyptic number.

2739220704 is a gapful number since it is divisible by the number (24) 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 2739220704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363926840).

2739220704 is an abundant number, since it is smaller than the sum of its proper divisors (5988632976).

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

2739220704 is a wasteful number, since it uses less digits than its factorization.

2739220704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23433 (or 23422 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2739220704 is about 52337.5649414453. The cubic root of 2739220704 is about 1399.1867222059.

The spelling of 2739220704 in words is "two billion, seven hundred thirty-nine million, two hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 1056 1184 1221 1332 1584 1628 1776 2442 2664 3168 3256 3552 3663 4884 5328 6512 7326 9768 10656 13024 14652 19536 23369 29304 39072 46738 58608 70107 93476 117216 140214 186952 210321 257059 280428 373904 420642 514118 560856 747808 771177 841284 864653 1028236 1121712 1542354 1682568 1729306 2056472 2243424 2313531 2593959 3084708 3365136 3458612 4112944 4627062 5187918 6169416 6730272 6917224 7781877 8225888 9254124 9511183 10375836 12338832 13834448 15563754 18508248 19022366 20751672 24677664 27668896 28533549 31127508 37016496 38044732 41503344 57067098 62255016 74032992 76089464 83006688 85600647 114134196 124510032 152178928 171201294 228268392 249020064 304357856 342402588 456536784 684805176 913073568 1369610352 2739220704