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2730755456 = 271113193773
BaseRepresentation
bin1010001011000100…
…0000010110000000
321001022101202020222
42202301000112000
521043033133311
61130545322212
7124446016112
oct24261002600
97038352228
102730755456
111181492aa0
12642636368
13346994540
141bc95b3b2
1510eb0cadb
hexa2c40580

2730755456 has 128 divisors (see below), whose sum is σ = 6432683040. Its totient is φ = 1138360320.

The previous prime is 2730755429. The next prime is 2730755473. The reversal of 2730755456 is 6545570372.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3532286 + ... + 3533058.

Almost surely, 22730755456 is an apocalyptic number.

2730755456 is a gapful number since it is divisible by the number (26) 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 2730755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216341520).

2730755456 is an abundant number, since it is smaller than the sum of its proper divisors (3701927584).

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

2730755456 is a wasteful number, since it uses less digits than its factorization.

2730755456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 44.

The square root of 2730755456 is about 52256.6307371610. The cubic root of 2730755456 is about 1397.7438927551.

The spelling of 2730755456 in words is "two billion, seven hundred thirty million, seven hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 193 208 286 352 386 416 572 704 772 773 832 1144 1408 1544 1546 1664 2123 2288 2509 3088 3092 4246 4576 5018 6176 6184 8492 8503 9152 10036 10049 12352 12368 16984 17006 18304 20072 20098 24704 24736 27599 33968 34012 40144 40196 49472 55198 67936 68024 80288 80392 98944 110396 110539 135872 136048 149189 160576 160784 220792 221078 271744 272096 298378 321152 321568 441584 442156 544192 596756 643136 883168 884312 1088384 1193512 1286272 1641079 1766336 1768624 1939457 2387024 3282158 3532672 3537248 3878914 4774048 6564316 7074496 7757828 9548096 13128632 14148992 15515656 19096192 21334027 26257264 31031312 42668054 52514528 62062624 85336108 105029056 124125248 170672216 210058112 248250496 341344432 682688864 1365377728 2730755456