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130023000 = 23325314447
BaseRepresentation
bin1111011111111…
…11111001011000
3100001122212000200
413233333321120
5231241214000
620522502200
73136114542
oct757777130
9301585020
10130023000
1167438228
1237664960
1320c260b3
14133a8692
15b635500
hex7bffe58

130023000 has 96 divisors (see below), whose sum is σ = 439508160. Its totient is φ = 34670400.

The previous prime is 130022993. The next prime is 130023007. The reversal of 130023000 is 320031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130022993) and next prime (130023007).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130023007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777 + ... + 16223.

It is an arithmetic number, because the mean of its divisors is an integer number (4578210).

Almost surely, 2130023000 is an apocalyptic number.

130023000 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 130023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219754080).

130023000 is an abundant number, since it is smaller than the sum of its proper divisors (309485160).

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

130023000 is a wasteful number, since it uses less digits than its factorization.

130023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14474 (or 14457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130023000 is about 11402.7628231056. The cubic root of 130023000 is about 506.6095753616.

Adding to 130023000 its reverse (320031), we get a palindrome (130343031).

The spelling of 130023000 in words is "one hundred thirty million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 14447 28894 43341 57788 72235 86682 115576 130023 144470 173364 216705 260046 288940 346728 361175 433410 520092 577880 650115 722350 866820 1040184 1083525 1300230 1444700 1733640 1805875 2167050 2600460 2889400 3250575 3611750 4334100 5200920 5417625 6501150 7223500 8668200 10835250 13002300 14447000 16252875 21670500 26004600 32505750 43341000 65011500 130023000