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129111696 = 24327235569
BaseRepresentation
bin1111011001000…
…01011010010000
322222221112221200
413230201122100
5231023033241
620451151200
73125300640
oct754413220
9288845850
10129111696
116697558a
12372a5500
132099736c
141320c520
15b5054b6
hex7b21690

129111696 has 120 divisors (see below), whose sum is σ = 430984320. Its totient is φ = 35278848.

The previous prime is 129111691. The next prime is 129111713. The reversal of 129111696 is 696111921.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 129111696.

It is not an unprimeable number, because it can be changed into a prime (129111691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20400 + ... + 25968.

It is an arithmetic number, because the mean of its divisors is an integer number (3591536).

Almost surely, 2129111696 is an apocalyptic number.

129111696 is a gapful number since it is divisible by the number (16) 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 129111696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215492160).

129111696 is an abundant number, since it is smaller than the sum of its proper divisors (301872624).

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

129111696 is a wasteful number, since it uses less digits than its factorization.

129111696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5604 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 129111696 is about 11362.7327698930. The cubic root of 129111696 is about 505.4232259022.

The spelling of 129111696 in words is "one hundred twenty-nine million, one hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5569 5796 7728 11138 11592 16707 22276 23184 33414 38983 44552 50121 66828 77966 89104 100242 116949 128087 133656 155932 200484 233898 256174 267312 311864 350847 384261 400968 467796 512348 623728 701694 768522 801936 896609 935592 1024696 1152783 1403388 1537044 1793218 1871184 2049392 2305566 2689827 2806776 3074088 3586436 4611132 5379654 5613552 6148176 7172872 8069481 9222264 10759308 14345744 16138962 18444528 21518616 32277924 43037232 64555848 129111696