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2138050304 = 28134713669
BaseRepresentation
bin111111101110000…
…0000111100000000
312112000010012122022
41333130000330000
513334320102204
6552053501012
7103661061545
oct17734007400
95460105568
102138050304
119a7967925
124b8041768
13280c51130
14163d52bcc
15c7a815be
hex7f700f00

2138050304 has 72 divisors (see below), whose sum is σ = 4694168640. Its totient is φ = 965726208.

The previous prime is 2138050273. The next prime is 2138050309. The reversal of 2138050304 is 4030508312.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138050309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149582 + ... + 163250.

Almost surely, 22138050304 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 2138050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347084320).

2138050304 is an abundant number, since it is smaller than the sum of its proper divisors (2556118336).

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

2138050304 is a wasteful number, since it uses less digits than its factorization.

2138050304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13745 (or 13731 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2138050304 is about 46239.0560457283. The cubic root of 2138050304 is about 1288.2672696132.

Adding to 2138050304 its reverse (4030508312), we get a palindrome (6168558616).

The spelling of 2138050304 in words is "two billion, one hundred thirty-eight million, fifty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 256 376 416 611 752 832 1222 1504 1664 2444 3008 3328 4888 6016 9776 12032 13669 19552 27338 39104 54676 78208 109352 156416 177697 218704 355394 437408 642443 710788 874816 1284886 1421576 1749632 2569772 2843152 3499264 5139544 5686304 8351759 10279088 11372608 16703518 20558176 22745216 33407036 41116352 45490432 66814072 82232704 133628144 164465408 267256288 534512576 1069025152 2138050304