Search a number
-
+
130432140 = 22335298329
BaseRepresentation
bin1111100011000…
…11110010001100
3100002102122021000
413301203302030
5231342312030
620535340300
73142440426
oct761436214
9302378230
10130432140
1167697663
1237821690
132103a3a7
1413473816
15b6b6860
hex7c63c8c

130432140 has 96 divisors (see below), whose sum is σ = 419832000. Its totient is φ = 33578496.

The previous prime is 130432123. The next prime is 130432147. The reversal of 130432140 is 41234031.

130432140 is a `hidden beast` number, since 1 + 304 + 321 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130432147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11496 + ... + 19824.

It is an arithmetic number, because the mean of its divisors is an integer number (4373250).

Almost surely, 2130432140 is an apocalyptic number.

130432140 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 130432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209916000).

130432140 is an abundant number, since it is smaller than the sum of its proper divisors (289399860).

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

130432140 is a wasteful number, since it uses less digits than its factorization.

130432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130432140 is about 11420.6891210645. The cubic root of 130432140 is about 507.1403973771.

Adding to 130432140 its reverse (41234031), we get a palindrome (171666171).

The spelling of 130432140 in words is "one hundred thirty million, four hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 8329 15660 16658 24987 33316 41645 49974 74961 83290 99948 124935 149922 166580 224883 241541 249870 299844 374805 449766 483082 499740 724623 749610 899532 966164 1124415 1207705 1449246 1499220 2173869 2248830 2415410 2898492 3623115 4347738 4497660 4830820 6521607 7246230 8695476 10869345 13043214 14492460 21738690 26086428 32608035 43477380 65216070 130432140