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129845320 = 235111717359
BaseRepresentation
bin1111011110101…
…00100001001000
3100001022211021221
413233110201020
5231220022240
620515011424
73134444533
oct757244110
9301284257
10129845320
1167326790
1237599b74
1320b93267
141335da1a
15b5eca4a
hex7bd4848

129845320 has 64 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 44436480.

The previous prime is 129845293. The next prime is 129845333. The reversal of 129845320 is 23548921.

129845320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200 + ... + 16159.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2129845320 is an apocalyptic number.

129845320 is a gapful number since it is divisible by the number (10) 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 129845320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

129845320 is an abundant number, since it is smaller than the sum of its proper divisors (207633080).

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

129845320 is a wasteful number, since it uses less digits than its factorization.

129845320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17398 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 129845320 is about 11394.9690653376. The cubic root of 129845320 is about 506.3787048672.

The spelling of 129845320 in words is "one hundred twenty-nine million, eight hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 17359 34718 69436 86795 138872 173590 190949 295103 347180 381898 590206 694360 763796 954745 1180412 1475515 1527592 1909490 2360824 2951030 3246133 3818980 5902060 6492266 7637960 11804120 12984532 16230665 25969064 32461330 64922660 129845320