Search a number
-
+
129484950 = 23527279223
BaseRepresentation
bin1111011011111…
…00100010010110
3100000122111221220
413231330202112
5231122004300
620503151210
73131414100
oct755744226
9300574856
10129484950
11670aaa61
1237445506
1320a9821a
14132a8570
15b57ada0
hex7b7c896

129484950 has 144 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 29090880.

The previous prime is 129484939. The next prime is 129484951. The reversal of 129484950 is 59484921.

129484950 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 (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129484951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 580539 + ... + 580761.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2129484950 is an apocalyptic number.

129484950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129484950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

129484950 is an abundant number, since it is smaller than the sum of its proper divisors (250490730).

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

129484950 is a wasteful number, since it uses less digits than its factorization.

129484950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 129484950 is about 11379.1453984910. The cubic root of 129484950 is about 505.9098065012.

The spelling of 129484950 in words is "one hundred twenty-nine million, four hundred eighty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 79 98 105 147 150 158 175 210 223 237 245 294 350 395 446 474 490 525 553 669 735 790 1050 1106 1115 1185 1225 1338 1470 1561 1659 1975 2230 2370 2450 2765 3122 3318 3345 3675 3871 3950 4683 5530 5575 5925 6690 7350 7742 7805 8295 9366 10927 11150 11613 11850 13825 15610 16590 16725 17617 19355 21854 23226 23415 27650 32781 33450 35234 38710 39025 41475 46830 52851 54635 58065 65562 78050 82950 88085 96775 105702 109270 116130 117075 123319 163905 176170 193550 234150 246638 264255 273175 290325 327810 369957 440425 528510 546350 580650 616595 739914 819525 863233 880850 1233190 1321275 1639050 1726466 1849785 2589699 2642550 3082975 3699570 4316165 5179398 6165950 8632330 9248925 12948495 18497850 21580825 25896990 43161650 64742475 129484950