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130254000 = 24353171277
BaseRepresentation
bin1111100001110…
…00010010110000
3100002002120220020
413300320102300
5231321112000
620531443440
73141066162
oct760702260
9302076806
10130254000
1167585838
1237756580
1320ca7296
1413428932
15b67dba0
hex7c384b0

130254000 has 160 divisors (see below), whose sum is σ = 444989376. Its totient is φ = 32665600.

The previous prime is 130253999. The next prime is 130254001. The reversal of 130254000 is 452031.

It is an interprime number because it is at equal distance from previous prime (130253999) and next prime (130254001).

It is a super-2 number, since 2×1302540002 = 33932209032000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130254001) 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, 101362 + ... + 102638.

Almost surely, 2130254000 is an apocalyptic number.

130254000 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 130254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222494688).

130254000 is an abundant number, since it is smaller than the sum of its proper divisors (314735376).

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

130254000 is a wasteful number, since it uses less digits than its factorization.

130254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 130254000 is about 11412.8874523496. The cubic root of 130254000 is about 506.9094135354.

The spelling of 130254000 in words is "one hundred thirty million, two hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1277 1360 1500 1700 2000 2040 2125 2550 2554 3000 3400 3831 4080 4250 5100 5108 6000 6375 6385 6800 7662 8500 10200 10216 12750 12770 15324 17000 19155 20400 20432 21709 25500 25540 30648 31925 34000 38310 43418 51000 51080 61296 63850 65127 76620 86836 95775 102000 102160 108545 127700 130254 153240 159625 173672 191550 217090 255400 260508 306480 319250 325635 347344 383100 434180 478875 510800 521016 542725 638500 651270 766200 868360 957750 1042032 1085450 1277000 1302540 1532400 1628175 1736720 1915500 2170900 2554000 2605080 2713625 3256350 3831000 4341800 5210160 5427250 6512700 7662000 8140875 8683600 10854500 13025400 16281750 21709000 26050800 32563500 43418000 65127000 130254000