Search a number
-
+
2138087898 = 2321921129629
BaseRepresentation
bin111111101110000…
…1010000111011010
312112000012010012200
41333130022013122
513334322303043
6552054351030
7103661306262
oct17734120732
95460163180
102138087898
119a79930a1
124b805b476
13280c6528b
14163d627a2
15c7a8c7d3
hex7f70a1da

2138087898 has 48 divisors (see below), whose sum is σ = 4899616800. Its totient is φ = 671963040.

The previous prime is 2138087869. The next prime is 2138087899. The reversal of 2138087898 is 8987808312.

It is not an unprimeable number, because it can be changed into a prime (2138087899) 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, 57348 + ... + 86976.

It is an arithmetic number, because the mean of its divisors is an integer number (102075350).

Almost surely, 22138087898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138087898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449808400).

2138087898 is an abundant number, since it is smaller than the sum of its proper divisors (2761528902).

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

2138087898 is a wasteful number, since it uses less digits than its factorization.

2138087898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29867 (or 29864 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 2138087898 is about 46239.4625617556. The cubic root of 2138087898 is about 1288.2748202363.

It can be divided in two parts, 21380 and 87898, that added together give a triangular number (109278 = T467).

The spelling of 2138087898 in words is "two billion, one hundred thirty-eight million, eighty-seven thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 211 342 422 633 1266 1899 3798 4009 8018 12027 24054 29629 36081 59258 72162 88887 177774 266661 533322 562951 1125902 1688853 3377706 5066559 6251719 10133118 12503438 18755157 37510314 56265471 112530942 118782661 237565322 356347983 712695966 1069043949 2138087898