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2140546356 = 22321322919973
BaseRepresentation
bin111111110010110…
…0010010100110100
312112011211000120200
41333211202110310
513340434440411
6552223200500
7104021225634
oct17745422464
95464730520
102140546356
119a9312183
124b8a46130
132816162a0
141644026c4
15c7dc5e56
hex7f962534

2140546356 has 72 divisors (see below), whose sum is σ = 5852781480. Its totient is φ = 655720704.

The previous prime is 2140546339. The next prime is 2140546361. The reversal of 2140546356 is 6536450412.

2140546356 is a `hidden beast` number, since 2 + 14 + 0 + 5 + 4 + 635 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318622500 + 1821923856 = 17850^2 + 42684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2140546356.

It is a congruent number.

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, 97186 + ... + 117158.

Almost surely, 22140546356 is an apocalyptic number.

2140546356 is a gapful number since it is divisible by the number (26) 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 2140546356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926390740).

2140546356 is an abundant number, since it is smaller than the sum of its proper divisors (3712235124).

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

2140546356 is a wasteful number, since it uses less digits than its factorization.

2140546356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20225 (or 20220 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2140546356 is about 46266.0389054434. The cubic root of 2140546356 is about 1288.7684008796.

Adding to 2140546356 its reverse (6536450412), we get a palindrome (8676996768).

The spelling of 2140546356 in words is "two billion, one hundred forty million, five hundred forty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 19973 26793 35724 39946 53586 59919 79892 107172 119838 179757 239676 259649 359514 519298 719028 778947 1038596 1557894 2336841 3115788 4573817 4673682 9147634 9347364 13721451 18295268 27442902 41164353 54885804 59459621 82328706 118919242 164657412 178378863 237838484 356757726 535136589 713515452 1070273178 2140546356