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130102720 = 26511231607
BaseRepresentation
bin1111100000100…
…11010111000000
3100001210220101021
413300103113000
5231301241340
620524315224
73136566136
oct760232700
9301726337
10130102720
1167492110
12376a2b14
1320c53477
14133c9756
15b64de4a
hex7c135c0

130102720 has 112 divisors (see below), whose sum is σ = 352885248. Its totient is φ = 45224960.

The previous prime is 130102711. The next prime is 130102723. The reversal of 130102720 is 27201031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130102694 and 130102703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130102723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80157 + ... + 81763.

Almost surely, 2130102720 is an apocalyptic number.

130102720 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 130102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176442624).

130102720 is an abundant number, since it is smaller than the sum of its proper divisors (222782528).

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

130102720 is a wasteful number, since it uses less digits than its factorization.

130102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1648 counting only the distinct ones).

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

The square root of 130102720 is about 11406.2579315041. The cubic root of 130102720 is about 506.7130920833.

Adding to 130102720 its reverse (27201031), we get a palindrome (157303751).

The spelling of 130102720 in words is "one hundred thirty million, one hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 160 176 184 220 230 253 320 352 368 440 460 506 704 736 880 920 1012 1265 1472 1607 1760 1840 2024 2530 3214 3520 3680 4048 5060 6428 7360 8035 8096 10120 12856 16070 16192 17677 20240 25712 32140 35354 36961 40480 51424 64280 70708 73922 80960 88385 102848 128560 141416 147844 176770 184805 257120 282832 295688 353540 369610 406571 514240 565664 591376 707080 739220 813142 1131328 1182752 1414160 1478440 1626284 2032855 2365504 2828320 2956880 3252568 4065710 5656640 5913760 6505136 8131420 11827520 13010272 16262840 26020544 32525680 65051360 130102720