Search a number
-
+
129780192 = 25343149211
BaseRepresentation
bin1111011110001…
…00100111100000
3100001012111221210
413233010213200
5231210431232
620513350120
73134053623
oct757044740
9301174853
10129780192
1167291863
1237568340
1320b6c719
1413343dba
15b5d85cc
hex7bc49e0

129780192 has 96 divisors (see below), whose sum is σ = 352598400. Its totient is φ = 41771520.

The previous prime is 129780181. The next prime is 129780197. The reversal of 129780192 is 291087921.

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

It is a self number, because there is not a number n which added to its sum of digits gives 129780192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129780197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614967 + ... + 615177.

It is an arithmetic number, because the mean of its divisors is an integer number (3672900).

Almost surely, 2129780192 is an apocalyptic number.

129780192 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 129780192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176299200).

129780192 is an abundant number, since it is smaller than the sum of its proper divisors (222818208).

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

129780192 is a wasteful number, since it uses less digits than its factorization.

129780192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 129780192 is about 11392.1109545158. The cubic root of 129780192 is about 506.2940273247.

The spelling of 129780192 in words is "one hundred twenty-nine million, seven hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 149 172 211 258 298 344 422 447 516 596 633 688 844 894 1032 1192 1266 1376 1688 1788 2064 2384 2532 3376 3576 4128 4768 5064 6407 6752 7152 9073 10128 12814 14304 18146 19221 20256 25628 27219 31439 36292 38442 51256 54438 62878 72584 76884 94317 102512 108876 125756 145168 153768 188634 205024 217752 251512 290336 307536 377268 435504 503024 615072 754536 871008 1006048 1351877 1509072 2703754 3018144 4055631 5407508 8111262 10815016 16222524 21630032 32445048 43260064 64890096 129780192