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2703420072 = 2332472812843
BaseRepresentation
bin1010000100100010…
…1110101010101000
320222101221222011100
42201020232222220
521014033420242
61124131401400
7123664456113
oct24110565250
96871858140
102703420072
111168012571
12635453260
13341113362
141b908357a
1510c50d54c
hexa122eaa8

2703420072 has 96 divisors (see below), whose sum is σ = 7506794880. Its totient is φ = 878519040.

The previous prime is 2703420067. The next prime is 2703420077. The reversal of 2703420072 is 2700243072.

It is an interprime number because it is at equal distance from previous prime (2703420067) and next prime (2703420077).

It is a super-3 number, since 3×27034200723 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2703420077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949483 + ... + 952325.

It is an arithmetic number, because the mean of its divisors is an integer number (78195780).

Almost surely, 22703420072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2703420072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753397440).

2703420072 is an abundant number, since it is smaller than the sum of its proper divisors (4803374808).

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

2703420072 is a wasteful number, since it uses less digits than its factorization.

2703420072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2703420072 is about 51994.4234702146. The cubic root of 2703420072 is about 1393.0643489720.

The spelling of 2703420072 in words is "two billion, seven hundred three million, four hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 281 282 376 423 562 564 843 846 1124 1128 1686 1692 2248 2529 2843 3372 3384 5058 5686 6744 8529 10116 11372 13207 17058 20232 22744 25587 26414 34116 39621 51174 52828 68232 79242 102348 105656 118863 133621 158484 204696 237726 267242 316968 400863 475452 534484 798883 801726 950904 1068968 1202589 1597766 1603452 2396649 2405178 3195532 3206904 4793298 4810356 6391064 7189947 9586596 9620712 14379894 19173192 28759788 37547501 57519576 75095002 112642503 150190004 225285006 300380008 337927509 450570012 675855018 901140024 1351710036 2703420072