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133487420 = 225113111951
BaseRepresentation
bin1111111010011…
…01101100111100
3100022011212022112
413331031230330
5233133044140
621125033152
73210424103
oct775155474
9308155275
10133487420
1169394090
12388557b8
1321869c51
1413a2b03a
15babbc65
hex7f4db3c

133487420 has 48 divisors (see below), whose sum is σ = 306948096. Its totient is φ = 48360000.

The previous prime is 133487411. The next prime is 133487447. The reversal of 133487420 is 24784331.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 67445 + ... + 69395.

It is an arithmetic number, because the mean of its divisors is an integer number (6394752).

Almost surely, 2133487420 is an apocalyptic number.

133487420 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 133487420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153474048).

133487420 is an abundant number, since it is smaller than the sum of its proper divisors (173460676).

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

133487420 is a wasteful number, since it uses less digits than its factorization.

133487420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 133487420 is about 11553.6756056244. The cubic root of 133487420 is about 511.0696759451.

The spelling of 133487420 in words is "one hundred thirty-three million, four hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 1951 3110 3421 3902 6220 6842 7804 9755 13684 17105 19510 21461 34210 39020 42922 68420 85844 107305 214610 429220 606761 1213522 2427044 3033805 6067610 6674371 12135220 13348742 26697484 33371855 66743710 133487420