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2735130 = 2351731173
BaseRepresentation
bin1010011011110000011010
312010221220010
422123300122
51200011010
6134342350
732151066
oct12336032
95127803
102735130
1115a8a42
12aba9b6
13749c28
14512aa6
15390620
hex29bc1a

2735130 has 64 divisors (see below), whose sum is σ = 7216128. Its totient is φ = 660480.

The previous prime is 2735129. The next prime is 2735143. The reversal of 2735130 is 315372.

It is a happy number.

2735130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×27351302 = 14961872233800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2735097 and 2735106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15724 + ... + 15896.

It is an arithmetic number, because the mean of its divisors is an integer number (112752).

22735130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2735130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608064).

2735130 is an abundant number, since it is smaller than the sum of its proper divisors (4480998).

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

2735130 is a wasteful number, since it uses less digits than its factorization.

2735130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 2735130 is about 1653.8228442007. The cubic root of 2735130 is about 139.8489868257.

The spelling of 2735130 in words is "two million, seven hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 173 186 255 310 346 465 510 519 527 865 930 1038 1054 1581 1730 2595 2635 2941 3162 5190 5270 5363 5882 7905 8823 10726 14705 15810 16089 17646 26815 29410 32178 44115 53630 80445 88230 91171 160890 182342 273513 455855 547026 911710 1367565 2735130