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135311420 = 22561197563
BaseRepresentation
bin10000001000010…
…11000000111100
3100102121112101002
420010023000330
5234114431140
621232105432
73232061636
oct1004130074
9312545332
10135311420
116a41a522
1239395278
132205823a
1413d83a56
15bd2c415
hex810b03c

135311420 has 48 divisors (see below), whose sum is σ = 290793888. Its totient is φ = 52872960.

The previous prime is 135311399. The next prime is 135311447. The reversal of 135311420 is 24113531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 135311392 and 135311401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240059 + ... + 240621.

It is an arithmetic number, because the mean of its divisors is an integer number (6058206).

Almost surely, 2135311420 is an apocalyptic number.

135311420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135311420 is an abundant number, since it is smaller than the sum of its proper divisors (155482468).

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

135311420 is a wasteful number, since it uses less digits than its factorization.

135311420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 135311420 is about 11632.3437019373. The cubic root of 135311420 is about 513.3869408606.

Adding to 135311420 its reverse (24113531), we get a palindrome (159424951).

The spelling of 135311420 in words is "one hundred thirty-five million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 197 244 305 394 563 610 788 985 1126 1220 1970 2252 2815 3940 5630 11260 12017 24034 34343 48068 60085 68686 110911 120170 137372 171715 221822 240340 343430 443644 554555 686860 1109110 2218220 6765571 13531142 27062284 33827855 67655710 135311420