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129645054 = 232711891051
BaseRepresentation
bin1111011101000…
…11100111111110
3100000221122120200
413232203213332
5231142120204
620510424330
73132651630
oct756434776
9300848520
10129645054
11671aa280
12375020a6
1320b23066
141330aa50
15b5ad539
hex7ba39fe

129645054 has 96 divisors (see below), whose sum is σ = 354481920. Its totient is φ = 33264000.

The previous prime is 129645053. The next prime is 129645073. The reversal of 129645054 is 450546921.

129645054 is a `hidden beast` number, since 1 + 2 + 9 + 645 + 0 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129645053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122829 + ... + 123879.

It is an arithmetic number, because the mean of its divisors is an integer number (3692520).

Almost surely, 2129645054 is an apocalyptic number.

129645054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129645054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177240960).

129645054 is an abundant number, since it is smaller than the sum of its proper divisors (224836866).

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

129645054 is a wasteful number, since it uses less digits than its factorization.

129645054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 129645054 is about 11386.1781999054. The cubic root of 129645054 is about 506.1182343859.

The spelling of 129645054 in words is "one hundred twenty-nine million, six hundred forty-five thousand, fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 89 99 126 154 178 198 231 267 462 534 623 693 801 979 1051 1246 1386 1602 1869 1958 2102 2937 3153 3738 5607 5874 6306 6853 7357 8811 9459 11214 11561 13706 14714 17622 18918 20559 22071 23122 34683 41118 44142 61677 66213 69366 80927 93539 104049 123354 132426 161854 187078 208098 242781 280617 485562 561234 654773 728343 841851 1028929 1309546 1456686 1683702 1964319 2057858 3086787 3928638 5892957 6173574 7202503 9260361 11785914 14405006 18520722 21607509 43215018 64822527 129645054