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133420432 = 24191034261
BaseRepresentation
bin1111111001111…
…01010110010000
3100022001110102111
413330331112100
5233123423212
621123355104
73210024565
oct774752620
9308043374
10133420432
1169348822
1238822a94
1321845602
1413a1086c
15baa6ea7
hex7f3d590

133420432 has 40 divisors (see below), whose sum is σ = 274813760. Its totient is φ = 62570880.

The previous prime is 133420423. The next prime is 133420433. The reversal of 133420432 is 234024331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133420433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29182 + ... + 33442.

It is an arithmetic number, because the mean of its divisors is an integer number (6870344).

Almost surely, 2133420432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137406880).

133420432 is an abundant number, since it is smaller than the sum of its proper divisors (141393328).

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

133420432 is a wasteful number, since it uses less digits than its factorization.

133420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 133420432 is about 11550.7762509712. The cubic root of 133420432 is about 510.9841715985.

Adding to 133420432 its reverse (234024331), we get a palindrome (367444763).

The spelling of 133420432 in words is "one hundred thirty-three million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 103 152 206 304 412 824 1648 1957 3914 4261 7828 8522 15656 17044 31312 34088 68176 80959 161918 323836 438883 647672 877766 1295344 1755532 3511064 7022128 8338777 16677554 33355108 66710216 133420432