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129073152 = 215313101
BaseRepresentation
bin1111011000110…
…00000000000000
322222212121002010
413230120000000
5231020320102
620450252520
73125050365
oct754300000
9288777063
10129073152
116694962a
1237287140
1320982960
14131dc46c
15b4e8d6c
hex7b18000

129073152 has 128 divisors (see below), whose sum is σ = 374335920. Its totient is φ = 39321600.

The previous prime is 129073151. The next prime is 129073177. The reversal of 129073152 is 251370921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129073151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277902 + ... + 1278002.

Almost surely, 2129073152 is an apocalyptic number.

129073152 is a gapful number since it is divisible by the number (12) 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 129073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187167960).

129073152 is an abundant number, since it is smaller than the sum of its proper divisors (245262768).

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

129073152 is an equidigital number, since it uses as much as digits as its factorization.

129073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 129073152 is about 11361.0365724260. The cubic root of 129073152 is about 505.3729258589.

The spelling of 129073152 in words is "one hundred twenty-nine million, seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 256 303 312 384 404 416 512 606 624 768 808 832 1024 1212 1248 1313 1536 1616 1664 2048 2424 2496 2626 3072 3232 3328 3939 4096 4848 4992 5252 6144 6464 6656 7878 8192 9696 9984 10504 12288 12928 13312 15756 16384 19392 19968 21008 24576 25856 26624 31512 32768 38784 39936 42016 49152 51712 53248 63024 77568 79872 84032 98304 103424 106496 126048 155136 159744 168064 206848 212992 252096 310272 319488 336128 413696 425984 504192 620544 638976 672256 827392 1008384 1241088 1277952 1344512 1654784 2016768 2482176 2689024 3309568 4033536 4964352 5378048 8067072 9928704 10756096 16134144 21512192 32268288 43024384 64536576 129073152