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2906710020 = 2232529556841
BaseRepresentation
bin1010110101000000…
…1110000000000100
321111120111011112200
42231100032000010
521423104210040
61200232514500
7132013425144
oct25520160004
97446434480
102906710020
111261842295
1269154ba30
1337427cc76
141d8080924
151202b7630
hexad40e004

2906710020 has 72 divisors (see below), whose sum is σ = 9121071960. Its totient is φ = 748392960.

The previous prime is 2906710019. The next prime is 2906710021. The reversal of 2906710020 is 200176092.

It is an interprime number because it is at equal distance from previous prime (2906710019) and next prime (2906710021).

It can be written as a sum of positive squares in 4 ways, for example, as 285474816 + 2621235204 = 16896^2 + 51198^2 .

It is not an unprimeable number, because it can be changed into a prime (2906710021) 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, 273201 + ... + 283640.

It is an arithmetic number, because the mean of its divisors is an integer number (126681555).

Almost surely, 22906710020 is an apocalyptic number.

2906710020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2906710020 is an abundant number, since it is smaller than the sum of its proper divisors (6214361940).

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

2906710020 is a wasteful number, since it uses less digits than its factorization.

2906710020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556885 (or 556880 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2906710020 is about 53913.9130466339. The cubic root of 2906710020 is about 1427.1421594908.

The spelling of 2906710020 in words is "two billion, nine hundred six million, seven hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 556841 1113682 1670523 2227364 2784205 3341046 5011569 5568410 6682092 8352615 10023138 11136820 16148389 16705230 20046276 25057845 32296778 33410460 48445167 50115690 64593556 80741945 96890334 100231380 145335501 161483890 193780668 242225835 290671002 322967780 484451670 581342004 726677505 968903340 1453355010 2906710020