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2730654420 = 22351319118329
BaseRepresentation
bin1010001011000010…
…0111101011010100
321001022012121122220
42202300213223110
521043021420140
61130543222340
7124445115414
oct24260475324
97038177586
102730654420
11118142409a
126425a79b0
1334695a560
141bc932644
1510eadcbd0
hexa2c27ad4

2730654420 has 96 divisors (see below), whose sum is σ = 8277534720. Its totient is φ = 668605440.

The previous prime is 2730654419. The next prime is 2730654439. The reversal of 2730654420 is 244560372.

It is a super-2 number, since 2×27306544202 = 14912947122931072800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139816 + ... + 158144.

It is an arithmetic number, because the mean of its divisors is an integer number (86224320).

Almost surely, 22730654420 is an apocalyptic number.

2730654420 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 2730654420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138767360).

2730654420 is an abundant number, since it is smaller than the sum of its proper divisors (5546880300).

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

2730654420 is a wasteful number, since it uses less digits than its factorization.

2730654420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18545 (or 18543 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 2730654420 is about 52255.6639992260. The cubic root of 2730654420 is about 1397.7266540342.

The spelling of 2730654420 in words is "two billion, seven hundred thirty million, six hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 191 195 260 382 390 573 764 780 955 1146 1910 2292 2483 2865 3820 4966 5730 7449 9932 11460 12415 14898 18329 24830 29796 36658 37245 49660 54987 73316 74490 91645 109974 148980 183290 219948 238277 274935 366580 476554 549870 714831 953108 1099740 1191385 1429662 2382770 2859324 3500839 3574155 4765540 7001678 7148310 10502517 14003356 14296620 17504195 21005034 35008390 42010068 45510907 52512585 70016780 91021814 105025170 136532721 182043628 210050340 227554535 273065442 455109070 546130884 682663605 910218140 1365327210 2730654420