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129903444 = 2232111132903
BaseRepresentation
bin1111011111000…
…10101101010100
3100001102210000200
413233202231110
5231223402234
620520140500
73135106146
oct757425524
9301383020
10129903444
1167366420
1237607730
1320bb3858
1413376c96
15b60ed99
hex7be2b54

129903444 has 72 divisors (see below), whose sum is σ = 361513152. Its totient is φ = 39002880.

The previous prime is 129903439. The next prime is 129903469. The reversal of 129903444 is 444309921.

129903444 is a `hidden beast` number, since 129 + 90 + 3 + 444 = 666.

It is a super-2 number, since 2×1299034442 = 33749809526122272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129903399 and 129903408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43297 + ... + 46199.

It is an arithmetic number, because the mean of its divisors is an integer number (5021016).

Almost surely, 2129903444 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 129903444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180756576).

129903444 is an abundant number, since it is smaller than the sum of its proper divisors (231609708).

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

129903444 is a wasteful number, since it uses less digits than its factorization.

129903444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 129903444 is about 11397.5192037566. The cubic root of 129903444 is about 506.4542521033.

The spelling of 129903444 in words is "one hundred twenty-nine million, nine hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 132 198 226 339 396 452 678 1017 1243 1356 2034 2486 2903 3729 4068 4972 5806 7458 8709 11187 11612 14916 17418 22374 26127 31933 34836 44748 52254 63866 95799 104508 127732 191598 287397 328039 383196 574794 656078 984117 1149588 1312156 1968234 2952351 3608429 3936468 5904702 7216858 10825287 11809404 14433716 21650574 32475861 43301148 64951722 129903444