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129019744 = 2572107769
BaseRepresentation
bin1111011000010…
…10111101100000
322222202212211001
413230022331200
5231012112434
620445201344
73124435600
oct754127540
9288685731
10129019744
1166912497
1237260254
1320964559
14131c6c00
15b4d8114
hex7b0af60

129019744 has 72 divisors (see below), whose sum is σ = 298627560. Its totient is φ = 54706176.

The previous prime is 129019741. The next prime is 129019769. The reversal of 129019744 is 447910921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129019741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167392 + ... + 168160.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2129019744 is an apocalyptic number.

129019744 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 129019744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149313780).

129019744 is an abundant number, since it is smaller than the sum of its proper divisors (169607816).

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

129019744 is a wasteful number, since it uses less digits than its factorization.

129019744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 129019744 is about 11358.6858394798. The cubic root of 129019744 is about 505.3032116944.

The spelling of 129019744 in words is "one hundred twenty-nine million, nineteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 107 112 196 214 224 392 428 749 769 784 856 1498 1538 1568 1712 2996 3076 3424 5243 5383 5992 6152 10486 10766 11984 12304 20972 21532 23968 24608 37681 41944 43064 75362 82283 83888 86128 150724 164566 167776 172256 301448 329132 575981 602896 658264 1151962 1205792 1316528 2303924 2633056 4031867 4607848 8063734 9215696 16127468 18431392 32254936 64509872 129019744