Search a number
-
+
129029888 = 2813137283
BaseRepresentation
bin1111011000011…
…01011100000000
322222210101201202
413230031130000
5231012424023
620445320332
73124510301
oct754153400
9288711652
10129029888
116691a079
12372660a8
1320969060
14131ca7a8
15b4db128
hex7b0d700

129029888 has 72 divisors (see below), whose sum is σ = 280379568. Its totient is φ = 58908672.

The previous prime is 129029867. The next prime is 129029921. The reversal of 129029888 is 888920921.

It is a super-3 number, since 3×1290298883 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455795 + ... + 456077.

Almost surely, 2129029888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140189784).

129029888 is an abundant number, since it is smaller than the sum of its proper divisors (151349680).

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

129029888 is a wasteful number, since it uses less digits than its factorization.

129029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The square root of 129029888 is about 11359.1323612325. The cubic root of 129029888 is about 505.3164542708.

The spelling of 129029888 in words is "one hundred twenty-nine million, twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 208 256 274 283 416 548 566 832 1096 1132 1664 1781 2192 2264 3328 3562 3679 4384 4528 7124 7358 8768 9056 14248 14716 17536 18112 28496 29432 35072 36224 38771 56992 58864 72448 77542 113984 117728 155084 227968 235456 310168 455936 470912 504023 620336 941824 1008046 1240672 2016092 2481344 4032184 4962688 8064368 9925376 16128736 32257472 64514944 129029888