Search a number
-
+
129446640 = 2433559929
BaseRepresentation
bin1111011011100…
…11001011110000
3100000120120102000
413231303023300
5231114243030
620502254000
73131164311
oct755631360
9300516360
10129446640
11670841a4
1237427300
1320a8395b
1413298608
15b56e860
hex7b732f0

129446640 has 80 divisors (see below), whose sum is σ = 445879200. Its totient is φ = 34518528.

The previous prime is 129446623. The next prime is 129446663. The reversal of 129446640 is 46644921.

129446640 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 4 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 129446595 and 129446604.

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, 27805 + ... + 32124.

It is an arithmetic number, because the mean of its divisors is an integer number (5573490).

Almost surely, 2129446640 is an apocalyptic number.

129446640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129446640 is an abundant number, since it is smaller than the sum of its proper divisors (316432560).

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

129446640 is a wasteful number, since it uses less digits than its factorization.

129446640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59951 (or 59939 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 129446640 is about 11377.4619313800. The cubic root of 129446640 is about 505.8599079958.

The spelling of 129446640 in words is "one hundred twenty-nine million, four hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 59929 119858 179787 239716 299645 359574 479432 539361 599290 719148 898935 958864 1078722 1198580 1438296 1618083 1797870 2157444 2397160 2696805 2876592 3236166 3595740 4314888 4794320 5393610 6472332 7191480 8090415 8629776 10787220 12944664 14382960 16180830 21574440 25889328 32361660 43148880 64723320 129446640