Search a number
-
+
129251328 = 2113109193
BaseRepresentation
bin1111011010000…
…11100000000000
3100000012122111020
413231003200000
5231042020303
620454145440
73126422013
oct755034000
9300178436
10129251328
1166a60488
1237352280
1320a15a9b
141324737a
15b531a53
hex7b43800

129251328 has 96 divisors (see below), whose sum is σ = 349549200. Its totient is φ = 42467328.

The previous prime is 129251267. The next prime is 129251333. The reversal of 129251328 is 823152921.

It is a happy number.

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

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, 669600 + ... + 669792.

Almost surely, 2129251328 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 129251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174774600).

129251328 is an abundant number, since it is smaller than the sum of its proper divisors (220297872).

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

129251328 is a wasteful number, since it uses less digits than its factorization.

129251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 307 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 129251328 is about 11368.8754061253. The cubic root of 129251328 is about 505.6053623316.

The spelling of 129251328 in words is "one hundred twenty-nine million, two hundred fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 193 218 256 327 384 386 436 512 579 654 768 772 872 1024 1158 1308 1536 1544 1744 2048 2316 2616 3072 3088 3488 4632 5232 6144 6176 6976 9264 10464 12352 13952 18528 20928 21037 24704 27904 37056 41856 42074 49408 55808 63111 74112 83712 84148 98816 111616 126222 148224 167424 168296 197632 223232 252444 296448 334848 336592 395264 504888 592896 669696 673184 1009776 1185792 1346368 2019552 2692736 4039104 5385472 8078208 10770944 16156416 21541888 32312832 43083776 64625664 129251328