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5151630 = 2351167233
BaseRepresentation
bin10011101001101110001110
3100200201201010
4103221232032
52304323010
6302230050
761534221
oct23515616
910621633
105151630
1129a9550
121885326
1310b4b03
149815b8
156bb620
hex4e9b8e

5151630 has 64 divisors (see below), whose sum is σ = 13747968. Its totient is φ = 1224960.

The previous prime is 5151617. The next prime is 5151637. The reversal of 5151630 is 361515.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5151597 and 5151606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151637) 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 31 ways as a sum of consecutive naturals, for example, 21994 + ... + 22226.

It is an arithmetic number, because the mean of its divisors is an integer number (214812).

Almost surely, 25151630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5151630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984).

5151630 is an abundant number, since it is smaller than the sum of its proper divisors (8596338).

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

5151630 is a wasteful number, since it uses less digits than its factorization.

5151630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 5151630 is about 2269.7202470789. The cubic root of 5151630 is about 172.7089675053.

It can be divided in two parts, 515 and 1630, that added together give a triangular number (2145 = T65).

The spelling of 5151630 in words is "five million, one hundred fifty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 233 330 335 402 466 670 699 737 1005 1165 1398 1474 2010 2211 2330 2563 3495 3685 4422 5126 6990 7370 7689 11055 12815 15378 15611 22110 25630 31222 38445 46833 76890 78055 93666 156110 171721 234165 343442 468330 515163 858605 1030326 1717210 2575815 5151630