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130071340 = 225719107457
BaseRepresentation
bin1111100000010…
…11101100101100
3100001202022100001
413300023230230
5231244240330
620523514044
73136405510
oct760135454
9301668301
10130071340
1167470583
1237688924
1320c420b9
14133bc140
15b6449ca
hex7c0bb2c

130071340 has 96 divisors (see below), whose sum is σ = 332398080. Its totient is φ = 41762304.

The previous prime is 130071329. The next prime is 130071343. The reversal of 130071340 is 43170031.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (130071343) 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, 284392 + ... + 284848.

It is an arithmetic number, because the mean of its divisors is an integer number (3462480).

Almost surely, 2130071340 is an apocalyptic number.

130071340 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 130071340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166199040).

130071340 is an abundant number, since it is smaller than the sum of its proper divisors (202326740).

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

130071340 is a wasteful number, since it uses less digits than its factorization.

130071340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 130071340 is about 11404.8822878625. The cubic root of 130071340 is about 506.6723500824.

The spelling of 130071340 in words is "one hundred thirty million, seventy-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 107 133 140 190 214 266 380 428 457 532 535 665 749 914 1070 1330 1498 1828 2033 2140 2285 2660 2996 3199 3745 4066 4570 6398 7490 8132 8683 9140 10165 12796 14231 14980 15995 17366 20330 28462 31990 34732 40660 43415 48899 56924 60781 63980 71155 86830 97798 121562 142310 173660 195596 243124 244495 284620 303905 342293 488990 607810 684586 929081 977980 1215620 1369172 1711465 1858162 3422930 3716324 4645405 6503567 6845860 9290810 13007134 18581620 26014268 32517835 65035670 130071340