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2140215 = 3571117109
BaseRepresentation
bin1000001010100000110111
311000201211020
420022200313
51021441330
6113512223
724122460
oct10124067
94021736
102140215
111231a80
12872673
1359c1cc
143d9d67
152c4210
hex20a837

2140215 has 64 divisors (see below), whose sum is σ = 4561920. Its totient is φ = 829440.

The previous prime is 2140207. The next prime is 2140223. The reversal of 2140215 is 5120412.

It is an interprime number because it is at equal distance from previous prime (2140207) and next prime (2140223).

Together with 2421704 it forms a betrothed pair.

It is not a de Polignac number, because 2140215 - 23 = 2140207 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

2140215 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2140194 and 2140203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19581 + ... + 19689.

It is an arithmetic number, because the mean of its divisors is an integer number (71280).

22140215 is an apocalyptic number.

2140215 is an abundant number, since it is smaller than the sum of its proper divisors (2421705).

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

2140215 is a wasteful number, since it uses less digits than its factorization.

2140215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2140215 is about 1462.9473674743. The cubic root of 2140215 is about 128.8701897114.

Adding to 2140215 its reverse (5120412), we get a palindrome (7260627).

The spelling of 2140215 in words is "two million, one hundred forty thousand, two hundred fifteen".

Divisors: 1 3 5 7 11 15 17 21 33 35 51 55 77 85 105 109 119 165 187 231 255 327 357 385 545 561 595 763 935 1155 1199 1309 1635 1785 1853 2289 2805 3597 3815 3927 5559 5995 6545 8393 9265 11445 12971 17985 19635 20383 25179 27795 38913 41965 61149 64855 101915 125895 142681 194565 305745 428043 713405 2140215