Search a number
-
+
130017400 = 23521494363
BaseRepresentation
bin1111011111111…
…10100001111000
3100001122120100021
413233332201320
5231241024100
620522420224
73136062322
oct757764170
9301576307
10130017400
1167433aa7
1237661674
1320c23696
14133a6612
15b633a1a
hex7bfe878

130017400 has 48 divisors (see below), whose sum is σ = 304389000. Its totient is φ = 51646080.

The previous prime is 130017389. The next prime is 130017409. The reversal of 130017400 is 4710031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130017409) 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, 27619 + ... + 31981.

Almost surely, 2130017400 is an apocalyptic number.

130017400 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 130017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152194500).

130017400 is an abundant number, since it is smaller than the sum of its proper divisors (174371600).

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

130017400 is a wasteful number, since it uses less digits than its factorization.

130017400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 130017400 is about 11402.5172659374. The cubic root of 130017400 is about 506.6023021500.

Adding to 130017400 its reverse (4710031), we get a palindrome (134727431).

The spelling of 130017400 in words is "one hundred thirty million, seventeen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3725 4363 5960 7450 8726 14900 17452 21815 29800 34904 43630 87260 109075 174520 218150 436300 650087 872600 1300174 2600348 3250435 5200696 6500870 13001740 16252175 26003480 32504350 65008700 130017400