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135303400 = 23521674051
BaseRepresentation
bin10000001000010…
…01000011101000
3100102121010101001
420010021003220
5234114202100
621232004344
73232026361
oct1004110350
9312533331
10135303400
116a4144a1
12393906b4
13220546ab
1413d80b68
15bd29d6a
hex81090e8

135303400 has 48 divisors (see below), whose sum is σ = 316542240. Its totient is φ = 53784000.

The previous prime is 135303367. The next prime is 135303409. The reversal of 135303400 is 4303531.

It is not an unprimeable number, because it can be changed into a prime (135303409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31375 + ... + 35425.

It is an arithmetic number, because the mean of its divisors is an integer number (6594630).

Almost surely, 2135303400 is an apocalyptic number.

135303400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158271120).

135303400 is an abundant number, since it is smaller than the sum of its proper divisors (181238840).

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

135303400 is a wasteful number, since it uses less digits than its factorization.

135303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 135303400 is about 11631.9989683631. The cubic root of 135303400 is about 513.3767977290.

Adding to 135303400 its reverse (4303531), we get a palindrome (139606931).

The spelling of 135303400 in words is "one hundred thirty-five million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1336 1670 3340 4051 4175 6680 8102 8350 16204 16700 20255 32408 33400 40510 81020 101275 162040 202550 405100 676517 810200 1353034 2706068 3382585 5412136 6765170 13530340 16912925 27060680 33825850 67651700 135303400