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2135430 = 233511719
BaseRepresentation
bin1000001001010110000110
311000111021000
420021112012
51021313210
6113434130
724102513
oct10112606
94014230
102135430
111229420
1286b946
13599c8b
143d830a
152c2ac0
hex209586

2135430 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 516960.

The previous prime is 2135417. The next prime is 2135447. The reversal of 2135430 is 345312.

It is a super-2 number, since 2×21354302 = 9120122569800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2611 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22135430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2135430 is an abundant number, since it is smaller than the sum of its proper divisors (4085370).

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

2135430 is a wasteful number, since it uses less digits than its factorization.

2135430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2135430 is about 1461.3110551830. The cubic root of 2135430 is about 128.7740772516.

The spelling of 2135430 in words is "two million, one hundred thirty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 719 990 1438 1485 2157 2970 3595 4314 6471 7190 7909 10785 12942 15818 19413 21570 23727 32355 38826 39545 47454 64710 71181 79090 97065 118635 142362 194130 213543 237270 355905 427086 711810 1067715 2135430