Search a number
-
+
129060720 = 24325792269
BaseRepresentation
bin1111011000101…
…00111101110000
322222211222000200
413230110331300
5231014420340
620450115200
73124666215
oct754247560
9288758020
10129060720
1166940258
123727bb00
132097a0b9
14131d7b0c
15b4e5330
hex7b14f70

129060720 has 120 divisors (see below), whose sum is σ = 439108800. Its totient is φ = 33965568.

The previous prime is 129060707. The next prime is 129060721. The reversal of 129060720 is 27060921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129060721) 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, 55746 + ... + 58014.

It is an arithmetic number, because the mean of its divisors is an integer number (3659240).

Almost surely, 2129060720 is an apocalyptic number.

129060720 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 129060720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219554400).

129060720 is an abundant number, since it is smaller than the sum of its proper divisors (310048080).

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

129060720 is a wasteful number, since it uses less digits than its factorization.

129060720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 129060720 is about 11360.4894260767. The cubic root of 129060720 is about 505.3566999233.

The spelling of 129060720 in words is "one hundred twenty-nine million, sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2269 2370 2844 3160 3555 3792 4538 4740 5688 6320 6807 7110 9076 9480 11345 11376 13614 14220 18152 18960 20421 22690 27228 28440 34035 36304 40842 45380 54456 56880 68070 81684 90760 102105 108912 136140 163368 179251 181520 204210 272280 326736 358502 408420 537753 544560 717004 816840 896255 1075506 1434008 1613259 1633680 1792510 2151012 2688765 2868016 3226518 3585020 4302024 5377530 6453036 7170040 8066295 8604048 10755060 12906072 14340080 16132590 21510120 25812144 32265180 43020240 64530360 129060720