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129187044 = 223272331719
BaseRepresentation
bin1111011001100…
…11110011100100
3100000002101022100
413230303303210
5231032441134
620452532100
73126033420
oct754636344
9300071270
10129187044
1166a17158
1237321030
13209c274c
141322bb80
15b51c999
hex7b33ce4

129187044 has 144 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 34119360.

The previous prime is 129187043. The next prime is 129187073. The reversal of 129187044 is 440781921.

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

It is not an unprimeable number, because it can be changed into a prime (129187043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179317 + ... + 180035.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2129187044 is an apocalyptic number.

129187044 is a gapful number since it is divisible by the number (14) 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 129187044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

129187044 is an abundant number, since it is smaller than the sum of its proper divisors (273367836).

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

129187044 is a wasteful number, since it uses less digits than its factorization.

129187044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 129187044 is about 11366.0478619439. The cubic root of 129187044 is about 505.5215263780.

The spelling of 129187044 in words is "one hundred twenty-nine million, one hundred eighty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 31 36 42 46 62 63 69 84 92 93 124 126 138 161 186 207 217 252 276 279 322 372 414 434 483 558 644 651 713 719 828 868 966 1116 1302 1426 1438 1449 1932 1953 2139 2157 2604 2852 2876 2898 3906 4278 4314 4991 5033 5796 6417 6471 7812 8556 8628 9982 10066 12834 12942 14973 15099 16537 19964 20132 22289 25668 25884 29946 30198 33074 44578 44919 45297 49611 59892 60396 66148 66867 89156 89838 90594 99222 115759 133734 148833 156023 179676 181188 198444 200601 231518 267468 297666 312046 347277 401202 463036 468069 512647 595332 624092 694554 802404 936138 1025294 1041831 1389108 1404207 1537941 1872276 2050588 2083662 2808414 3075882 3588529 4167324 4613823 5616828 6151764 7177058 9227646 10765587 14354116 18455292 21531174 32296761 43062348 64593522 129187044