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2126300040 = 2332512746507
BaseRepresentation
bin111111010111100…
…1100001110001000
312111012000020022100
41332233030032020
513323313100130
6550553553400
7103456152324
oct17657141610
95435006270
102126300040
119a1271767
124b4115860
1327b698a07
14162574984
15c6a0ec60
hex7ebcc388

2126300040 has 96 divisors (see below), whose sum is σ = 6965038080. Its totient is φ = 562536576.

The previous prime is 2126300027. The next prime is 2126300081. The reversal of 2126300040 is 400036212.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2126299986 and 2126300022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22467 + ... + 68973.

It is an arithmetic number, because the mean of its divisors is an integer number (72552480).

Almost surely, 22126300040 is an apocalyptic number.

2126300040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482519040).

2126300040 is an abundant number, since it is smaller than the sum of its proper divisors (4838738040).

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

2126300040 is a wasteful number, since it uses less digits than its factorization.

2126300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46651 (or 46644 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2126300040 is about 46111.8210440663. The cubic root of 2126300040 is about 1285.9029198363.

Adding to 2126300040 its reverse (400036212), we get a palindrome (2526336252).

The spelling of 2126300040 in words is "two billion, one hundred twenty-six million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 127 180 254 360 381 508 635 762 1016 1143 1270 1524 1905 2286 2540 3048 3810 4572 5080 5715 7620 9144 11430 15240 22860 45720 46507 93014 139521 186028 232535 279042 372056 418563 465070 558084 697605 837126 930140 1116168 1395210 1674252 1860280 2092815 2790420 3348504 4185630 5580840 5906389 8371260 11812778 16742520 17719167 23625556 29531945 35438334 47251112 53157501 59063890 70876668 88595835 106315002 118127780 141753336 177191670 212630004 236255560 265787505 354383340 425260008 531575010 708766680 1063150020 2126300040