Search a number
-
+
2136135342 = 231141789407
BaseRepresentation
bin111111101010010…
…1101011010101110
312111212111220210210
41333110231122232
513333322312332
6551544443250
7103635564555
oct17724553256
95455456723
102136135342
119a687a110
124b7479526
13280730613
141639b4d9c
15c7803ecc
hex7f52d6ae

2136135342 has 32 divisors (see below), whose sum is σ = 4774339584. Its totient is φ = 631524800.

The previous prime is 2136135329. The next prime is 2136135347. The reversal of 2136135342 is 2435316312.

It is a super-4 number, since 4×21361353424 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136135347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391998 + ... + 397409.

It is an arithmetic number, because the mean of its divisors is an integer number (149198112).

Almost surely, 22136135342 is an apocalyptic number.

2136135342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2136135342 is an abundant number, since it is smaller than the sum of its proper divisors (2638204242).

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

2136135342 is a wasteful number, since it uses less digits than its factorization.

2136135342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789464.

The product of its digits is 12960, while the sum is 30.

The square root of 2136135342 is about 46218.3442152572. The cubic root of 2136135342 is about 1287.8825390710.

The spelling of 2136135342 in words is "two billion, one hundred thirty-six million, one hundred thirty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 789407 1578814 2368221 4736442 8683477 17366954 26050431 32365687 52100862 64731374 97097061 194194122 356022557 712045114 1068067671 2136135342