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133103040 = 2635729683
BaseRepresentation
bin1111110111011…
…11110111000000
3100021110100001020
413323233313000
5233033244130
621112505440
73204233340
oct773576700
9307410036
10133103040
1169151314
12386ab280
1321763cc5
141396ad20
15ba42e10
hex7eefdc0

133103040 has 224 divisors, whose sum is σ = 500359680. Its totient is φ = 29331456.

The previous prime is 133103021. The next prime is 133103053. The reversal of 133103040 is 40301331.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194539 + ... + 195221.

Almost surely, 2133103040 is an apocalyptic number.

133103040 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 133103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

133103040 is an abundant number, since it is smaller than the sum of its proper divisors (367256640).

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

133103040 is a wasteful number, since it uses less digits than its factorization.

133103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133103040 is about 11537.0290803135. The cubic root of 133103040 is about 510.5786588386.

Adding to 133103040 its reverse (40301331), we get a palindrome (173404371).

The spelling of 133103040 in words is "one hundred thirty-three million, one hundred three thousand, forty".