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130278960 = 24325725849
BaseRepresentation
bin1111100001111…
…10011000110000
3100002010212010200
413300332120300
5231322411320
620532155200
73141232020
oct760763060
9302125120
10130278960
11675a2569
1237768b00
1320cb5756
1413433a80
15b686290
hex7c3e630

130278960 has 120 divisors (see below), whose sum is σ = 500042400. Its totient is φ = 29776896.

The previous prime is 130278959. The next prime is 130278977. The reversal of 130278960 is 69872031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7885 + ... + 17964.

It is an arithmetic number, because the mean of its divisors is an integer number (4167020).

Almost surely, 2130278960 is an apocalyptic number.

130278960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130278960 is an abundant number, since it is smaller than the sum of its proper divisors (369763440).

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

130278960 is a wasteful number, since it uses less digits than its factorization.

130278960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25875 (or 25866 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 130278960 is about 11413.9809006323. The cubic root of 130278960 is about 506.9417904064.

The spelling of 130278960 in words is "one hundred thirty million, two hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 25849 51698 77547 103396 129245 155094 180943 206792 232641 258490 310188 361886 387735 413584 465282 516980 542829 620376 723772 775470 904715 930564 1033960 1085658 1163205 1240752 1447544 1550940 1628487 1809430 1861128 2067920 2171316 2326410 2714145 2895088 3101880 3256974 3618860 3722256 4342632 4652820 5428290 6203760 6513948 7237720 8142435 8685264 9305640 10856580 13027896 14475440 16284870 18611280 21713160 26055792 32569740 43426320 65139480 130278960