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213400005 = 357131271231
BaseRepresentation
bin11001011100000…
…11100111000101
3112212112211202220
430232003213011
5414112300010
633101522553
75200604310
oct1456034705
9485484686
10213400005
11aa505645
125b573459
13352995c0
14204ad977
1513b04970
hexcb839c5

213400005 has 64 divisors (see below), whose sum is σ = 423886848. Its totient is φ = 89268480.

The previous prime is 213399983. The next prime is 213400007. The reversal of 213400005 is 500004312.

213400005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213400005 - 213 = 213391813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213400007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172740 + ... + 173970.

It is an arithmetic number, because the mean of its divisors is an integer number (6623232).

Almost surely, 2213400005 is an apocalyptic number.

It is an amenable number.

213400005 is a deficient number, since it is larger than the sum of its proper divisors (210486843).

213400005 is a wasteful number, since it uses less digits than its factorization.

213400005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 213400005 is about 14608.2170369967. The cubic root of 213400005 is about 597.5828727916.

Adding to 213400005 its reverse (500004312), we get a palindrome (713404317).

The spelling of 213400005 in words is "two hundred thirteen million, four hundred thousand, five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 127 195 273 381 455 635 889 1231 1365 1651 1905 2667 3693 4445 4953 6155 8255 8617 11557 13335 16003 18465 24765 25851 34671 43085 48009 57785 80015 112021 129255 156337 173355 240045 336063 469011 560105 781685 1094359 1680315 2032381 2345055 3283077 5471795 6097143 10161905 14226667 16415385 30485715 42680001 71133335 213400005