Search a number
-
+
129053052 = 223217433487
BaseRepresentation
bin1111011000100…
…11000101111100
322222211120111200
413230103011330
5231014144202
620450015500
73124634652
oct754230574
9288746450
10129053052
1166935517
1237277590
132097676b
14131d4dd2
15b4e2e1c
hex7b1317c

129053052 has 72 divisors (see below), whose sum is σ = 346915296. Its totient is φ = 40310784.

The previous prime is 129053033. The next prime is 129053081. The reversal of 129053052 is 250350921.

129053052 is a `hidden beast` number, since 129 + 0 + 530 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264753 + ... + 265239.

It is an arithmetic number, because the mean of its divisors is an integer number (4818268).

Almost surely, 2129053052 is an apocalyptic number.

129053052 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 129053052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173457648).

129053052 is an abundant number, since it is smaller than the sum of its proper divisors (217862244).

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

129053052 is a wasteful number, since it uses less digits than its factorization.

129053052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 129053052 is about 11360.1519356037. The cubic root of 129053052 is about 505.3466913219.

The spelling of 129053052 in words is "one hundred twenty-nine million, fifty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 433 487 612 866 974 1299 1461 1732 1948 2598 2922 3897 4383 5196 5844 7361 7794 8279 8766 14722 15588 16558 17532 22083 24837 29444 33116 44166 49674 66249 74511 88332 99348 132498 149022 210871 264996 298044 421742 632613 843484 1265226 1897839 2530452 3584807 3795678 7169614 7591356 10754421 14339228 21508842 32263263 43017684 64526526 129053052