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2087241336 = 2332375314783
BaseRepresentation
bin111110001101000…
…1100011001111000
312101110111211211200
41330122030121320
513233313210321
6543040454200
7102503154465
oct17432143170
95343454750
102087241336
11981214344
124a301a360
1327357175b
1415b2c866c
15c3396d26
hex7c68c678

2087241336 has 96 divisors (see below), whose sum is σ = 5915669760. Its totient is φ = 664125696.

The previous prime is 2087241301. The next prime is 2087241341. The reversal of 2087241336 is 6331427802.

It is a happy number.

2087241336 is a `hidden beast` number, since 2 + 0 + 87 + 241 + 336 = 666.

2087241336 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 2087241336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133801 + ... + 148583.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560).

Almost surely, 22087241336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087241336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

2087241336 is an abundant number, since it is smaller than the sum of its proper divisors (3828428424).

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

2087241336 is a wasteful number, since it uses less digits than its factorization.

2087241336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2087241336 is about 45686.3364256755. The cubic root of 2087241336 is about 1277.9804856432.

The spelling of 2087241336 in words is "two billion, eighty-seven million, two hundred forty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1272 1332 1908 1961 2664 3816 3922 5883 7844 11766 14783 15688 17649 23532 29566 35298 44349 47064 59132 70596 88698 118264 133047 141192 177396 266094 354792 532188 546971 783499 1064376 1093942 1566998 1640913 2187884 2350497 3133996 3281826 4375768 4700994 4922739 6267992 6563652 7051491 9401988 9845478 13127304 14102982 18803976 19690956 28205964 28989463 39381912 56411928 57978926 86968389 115957852 173936778 231915704 260905167 347873556 521810334 695747112 1043620668 2087241336