Search a number
-
+
130539400 = 2352432353
BaseRepresentation
bin1111100011111…
…01111110001000
3100002122002101121
413301331332020
5231404230100
620541525024
73143365225
oct761757610
9302562347
10130539400
1167760202
1237873774
1321077164
14134a094c
15b6d851a
hex7c7df88

130539400 has 72 divisors (see below), whose sum is σ = 311606730. Its totient is φ = 50856960.

The previous prime is 130539397. The next prime is 130539401. The reversal of 130539400 is 4935031.

It can be written as a sum of positive squares in 3 ways, for example, as 91126116 + 39413284 = 9546^2 + 6278^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (130539401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 369624 + ... + 369976.

Almost surely, 2130539400 is an apocalyptic number.

130539400 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 130539400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155803365).

130539400 is an abundant number, since it is smaller than the sum of its proper divisors (181067330).

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

130539400 is a wasteful number, since it uses less digits than its factorization.

130539400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 130539400 is about 11425.3840198043. The cubic root of 130539400 is about 507.2793737959.

The spelling of 130539400 in words is "one hundred thirty million, five hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 353 430 706 860 1075 1412 1720 1765 1849 2150 2824 3530 3698 4300 7060 7396 8600 8825 9245 14120 14792 15179 17650 18490 30358 35300 36980 46225 60716 70600 73960 75895 92450 121432 151790 184900 303580 369800 379475 607160 652697 758950 1305394 1517900 2610788 3035800 3263485 5221576 6526970 13053940 16317425 26107880 32634850 65269700 130539400