Search a number
-
+
129377760 = 25352311719
BaseRepresentation
bin1111011011000…
…10010111100000
3100000110001220220
413231202113200
5231110042020
620501003040
73130456431
oct755422740
9300401826
10129377760
1167037476
12373b3480
1320a5b4b5
141327b488
15b559240
hex7b625e0

129377760 has 96 divisors (see below), whose sum is σ = 425295360. Its totient is φ = 32997888.

The previous prime is 129377753. The next prime is 129377771. The reversal of 129377760 is 67773921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5181 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (4430160).

Almost surely, 2129377760 is an apocalyptic number.

129377760 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 129377760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212647680).

129377760 is an abundant number, since it is smaller than the sum of its proper divisors (295917600).

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

129377760 is a wasteful number, since it uses less digits than its factorization.

129377760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11760 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 129377760 is about 11374.4344914374. The cubic root of 129377760 is about 505.7701675114.

The spelling of 129377760 in words is "one hundred twenty-nine million, three hundred seventy-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 11719 23438 35157 46876 58595 70314 93752 117190 140628 175785 187504 234380 269537 281256 351570 375008 468760 539074 562512 703140 808611 937520 1078148 1125024 1347685 1406280 1617222 1875040 2156296 2695370 2812560 3234444 4043055 4312592 5390740 5625120 6468888 8086110 8625184 10781480 12937776 16172220 21562960 25875552 32344440 43125920 64688880 129377760