Search a number
-
+
130534224 = 24337671097
BaseRepresentation
bin1111100011111…
…00101101010000
3100002121211021220
413301330231100
5231404043344
620541445040
73143344152
oct761745520
9302554256
10130534224
1167757327
1237870780
13210749b2
141349cad2
15b6d6c19
hex7c7cb50

130534224 has 80 divisors (see below), whose sum is σ = 351816768. Its totient is φ = 41665536.

The previous prime is 130534207. The next prime is 130534231. The reversal of 130534224 is 422435031.

130534224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130534194 and 130534203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118444 + ... + 119540.

Almost surely, 2130534224 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 130534224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175908384).

130534224 is an abundant number, since it is smaller than the sum of its proper divisors (221282544).

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

130534224 is a wasteful number, since it uses less digits than its factorization.

130534224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 130534224 is about 11425.1575043848. The cubic root of 130534224 is about 507.2726690188.

Adding to 130534224 its reverse (422435031), we get a palindrome (552969255).

The spelling of 130534224 in words is "one hundred thirty million, five hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 67 74 111 134 148 201 222 268 296 402 444 536 592 804 888 1072 1097 1608 1776 2194 2479 3216 3291 4388 4958 6582 7437 8776 9916 13164 14874 17552 19832 26328 29748 39664 40589 52656 59496 73499 81178 118992 121767 146998 162356 220497 243534 293996 324712 440994 487068 587992 649424 881988 974136 1175984 1763976 1948272 2719463 3527952 5438926 8158389 10877852 16316778 21755704 32633556 43511408 65267112 130534224