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133899480 = 233451113172
BaseRepresentation
bin1111111101100…
…10010011011000
3100022221210120000
413332302103120
5233234240410
621141533000
73214061331
oct776622330
9308853500
10133899480
1169645730
1238a14160
1321982680
1413ad7288
15bb4ddc0
hex7fb24d8

133899480 has 480 divisors, whose sum is σ = 561662640. Its totient is φ = 28200960.

The previous prime is 133899457. The next prime is 133899487. The reversal of 133899480 is 84998331.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133899487) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7876432 + ... + 7876448.

Almost surely, 2133899480 is an apocalyptic number.

133899480 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 133899480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280831320).

133899480 is an abundant number, since it is smaller than the sum of its proper divisors (427763160).

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

133899480 is a wasteful number, since it uses less digits than its factorization.

133899480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 133899480 is about 11571.4942855277. The cubic root of 133899480 is about 511.5950064749.

The spelling of 133899480 in words is "one hundred thirty-three million, eight hundred ninety-nine thousand, four hundred eighty".