Search a number
-
+
129289400 = 23524115767
BaseRepresentation
bin1111011010011…
…00110010111000
3100000021120201022
413231030302320
5231044230100
620455042012
73126641012
oct755146270
9300246638
10129289400
1166a87049
1237370308
1320a2a206
14132571b2
15b53ce85
hex7b4ccb8

129289400 has 48 divisors (see below), whose sum is σ = 307949040. Its totient is φ = 50451200.

The previous prime is 129289387. The next prime is 129289409. The reversal of 129289400 is 4982921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129289409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317 + ... + 16083.

It is an arithmetic number, because the mean of its divisors is an integer number (6415605).

Almost surely, 2129289400 is an apocalyptic number.

129289400 is a gapful number since it is divisible by the number (10) 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 129289400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153974520).

129289400 is an abundant number, since it is smaller than the sum of its proper divisors (178659640).

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

129289400 is a wasteful number, since it uses less digits than its factorization.

129289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15824 (or 15815 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 129289400 is about 11370.5496788854. The cubic root of 129289400 is about 505.6550008097.

The spelling of 129289400 in words is "one hundred twenty-nine million, two hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 15767 31534 63068 78835 126136 157670 315340 394175 630680 646447 788350 1292894 1576700 2585788 3153400 3232235 5171576 6464470 12928940 16161175 25857880 32322350 64644700 129289400