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133304430 = 23574011583
BaseRepresentation
bin1111111001000…
…01000001101110
3100021211120022010
413330201001232
5233111220210
621121102050
73206032440
oct774410156
9307746263
10133304430
1169279656
1238787926
132180487c
14139c0490
15ba82920
hex7f2106e

133304430 has 64 divisors (see below), whose sum is σ = 366778368. Its totient is φ = 30374400.

The previous prime is 133304419. The next prime is 133304471. The reversal of 133304430 is 34403331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133304397 and 133304406.

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, 83419 + ... + 85001.

It is an arithmetic number, because the mean of its divisors is an integer number (5730912).

Almost surely, 2133304430 is an apocalyptic number.

133304430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183389184).

133304430 is an abundant number, since it is smaller than the sum of its proper divisors (233473938).

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

133304430 is a wasteful number, since it uses less digits than its factorization.

133304430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 133304430 is about 11545.7537649129. The cubic root of 133304430 is about 510.8360374330.

Adding to 133304430 its reverse (34403331), we get a palindrome (167707761).

The spelling of 133304430 in words is "one hundred thirty-three million, three hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 401 802 1203 1583 2005 2406 2807 3166 4010 4749 5614 6015 7915 8421 9498 11081 12030 14035 15830 16842 22162 23745 28070 33243 42105 47490 55405 66486 84210 110810 166215 332430 634783 1269566 1904349 3173915 3808698 4443481 6347830 8886962 9521745 13330443 19043490 22217405 26660886 44434810 66652215 133304430