Search a number
-
+
2136730350 = 235226354163
BaseRepresentation
bin111111101011011…
…1110101011101110
312111220122011000010
41333112332223232
513334000332400
6552005314050
7103643623356
oct17726765356
95456564003
102136730350
119a7146157
124b7705926
132808ab3b1
14163acbb66
15c78c0450
hex7f5beaee

2136730350 has 48 divisors (see below), whose sum is σ = 5319338112. Its totient is φ = 567617760.

The previous prime is 2136730331. The next prime is 2136730361. The reversal of 2136730350 is 530376312.

It is a super-2 number, since 2×21367303502 = 9131233177222245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12369 + ... + 66531.

It is an arithmetic number, because the mean of its divisors is an integer number (110819544).

Almost surely, 22136730350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136730350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659669056).

2136730350 is an abundant number, since it is smaller than the sum of its proper divisors (3182607762).

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

2136730350 is a wasteful number, since it uses less digits than its factorization.

2136730350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54441 (or 54436 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 2136730350 is about 46224.7806917459. The cubic root of 2136730350 is about 1288.0021053519.

The spelling of 2136730350 in words is "two billion, one hundred thirty-six million, seven hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 263 526 789 1315 1578 2630 3945 6575 7890 13150 19725 39450 54163 108326 162489 270815 324978 541630 812445 1354075 1624890 2708150 4062225 8124450 14244869 28489738 42734607 71224345 85469214 142448690 213673035 356121725 427346070 712243450 1068365175 2136730350