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129383424 = 21032101139
BaseRepresentation
bin1111011011000…
…11110000000000
3100000110100200200
413231203300000
5231110232144
620501045200
73130512102
oct755436000
9300410620
10129383424
1167040755
12373b6800
1320a60c51
141327d572
15b55ac69
hex7b63c00

129383424 has 132 divisors (see below), whose sum is σ = 380005080. Its totient is φ = 42393600.

The previous prime is 129383411. The next prime is 129383453. The reversal of 129383424 is 424383921.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930747 + ... + 930885.

Almost surely, 2129383424 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 129383424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190002540).

129383424 is an abundant number, since it is smaller than the sum of its proper divisors (250621656).

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

129383424 is a wasteful number, since it uses less digits than its factorization.

129383424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 129383424 is about 11374.6834681234. The cubic root of 129383424 is about 505.7775480700. Note that the first 3 decimals are identical.

The spelling of 129383424 in words is "one hundred twenty-nine million, three hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 139 144 192 202 256 278 288 303 384 404 417 512 556 576 606 768 808 834 909 1024 1112 1152 1212 1251 1536 1616 1668 1818 2224 2304 2424 2502 3072 3232 3336 3636 4448 4608 4848 5004 6464 6672 7272 8896 9216 9696 10008 12928 13344 14039 14544 17792 19392 20016 25856 26688 28078 29088 35584 38784 40032 42117 51712 53376 56156 58176 71168 77568 80064 84234 103424 106752 112312 116352 126351 142336 155136 160128 168468 213504 224624 232704 252702 310272 320256 336936 427008 449248 465408 505404 640512 673872 898496 930816 1010808 1281024 1347744 1796992 2021616 2695488 3593984 4043232 5390976 7187968 8086464 10781952 14375936 16172928 21563904 32345856 43127808 64691712 129383424