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2087553132 = 2232717946279
BaseRepresentation
bin111110001101101…
…1000100001101100
312101111002200112200
41330123120201230
513233403200012
6543051301500
7102505623510
oct17433304154
95344080480
102087553132
11981407625
124a314a890
13273650652
1415b36a140
15c34093dc
hex7c6d886c

2087553132 has 72 divisors (see below), whose sum is σ = 6064531200. Its totient is φ = 593098848.

The previous prime is 2087553101. The next prime is 2087553133. The reversal of 2087553132 is 2313557802.

It is a happy number.

2087553132 is a `hidden beast` number, since 20 + 8 + 75 + 531 + 32 = 666.

2087553132 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 not an unprimeable number, because it can be changed into a prime (2087553133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21969 + ... + 68247.

It is an arithmetic number, because the mean of its divisors is an integer number (84229600).

Almost surely, 22087553132 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 2087553132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032265600).

2087553132 is an abundant number, since it is smaller than the sum of its proper divisors (3976978068).

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

2087553132 is a wasteful number, since it uses less digits than its factorization.

2087553132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46475 (or 46470 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2087553132 is about 45689.7486532811. The cubic root of 2087553132 is about 1278.0441181769.

The spelling of 2087553132 in words is "two billion, eighty-seven million, five hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 1074 1253 1611 2148 2506 3222 3759 5012 6444 7518 11277 15036 22554 45108 46279 92558 138837 185116 277674 323953 416511 555348 647906 833022 971859 1295812 1666044 1943718 2915577 3887436 5831154 8283941 11662308 16567882 24851823 33135764 49703646 57987587 74555469 99407292 115975174 149110938 173962761 231950348 298221876 347925522 521888283 695851044 1043776566 2087553132