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133004454 = 23114753809
BaseRepresentation
bin1111110110101…
…11110010100110
3100021021022210220
413323113302212
5233022120304
621110425210
73203343042
oct773276246
9307238726
10133004454
1169094240
1238662206
132172b17b
1413943022
15ba23ad9
hex7ed7ca6

133004454 has 64 divisors (see below), whose sum is σ = 302330880. Its totient is φ = 38654720.

The previous prime is 133004453. The next prime is 133004471. The reversal of 133004454 is 454400331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133004453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164002 + ... + 164810.

It is an arithmetic number, because the mean of its divisors is an integer number (4723920).

Almost surely, 2133004454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133004454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151165440).

133004454 is an abundant number, since it is smaller than the sum of its proper divisors (169326426).

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

133004454 is a wasteful number, since it uses less digits than its factorization.

133004454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 133004454 is about 11532.7556984443. The cubic root of 133004454 is about 510.4525702076.

Adding to 133004454 its reverse (454400331), we get a palindrome (587404785).

The spelling of 133004454 in words is "one hundred thirty-three million, four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 47 53 66 94 106 141 159 282 318 517 583 809 1034 1166 1551 1618 1749 2427 2491 3102 3498 4854 4982 7473 8899 14946 17798 26697 27401 38023 42877 53394 54802 76046 82203 85754 114069 128631 164406 228138 257262 418253 471647 836506 943294 1254759 1414941 2015219 2509518 2829882 4030438 6045657 12091314 22167409 44334818 66502227 133004454