Search a number
-
+
130279360 = 2652331571
BaseRepresentation
bin1111100001111…
…10011111000000
3100002010212200111
413300332133000
5231322414420
620532201104
73141233131
oct760763700
9302125614
10130279360
11675a28a2
1237769194
1320cb59a3
1413433c88
15b68645a
hex7c3e7c0

130279360 has 112 divisors (see below), whose sum is σ = 334743552. Its totient is φ = 48153600.

The previous prime is 130279351. The next prime is 130279363. The reversal of 130279360 is 63972031.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130279363) 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, 227875 + ... + 228445.

Almost surely, 2130279360 is an apocalyptic number.

130279360 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 130279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167371776).

130279360 is an abundant number, since it is smaller than the sum of its proper divisors (204464192).

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

130279360 is a wasteful number, since it uses less digits than its factorization.

130279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 130279360 is about 11413.9984229892. The cubic root of 130279360 is about 506.9423092328.

The spelling of 130279360 in words is "one hundred thirty million, two hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 64 80 92 115 124 155 160 184 230 248 310 320 368 460 496 571 620 713 736 920 992 1142 1240 1426 1472 1840 1984 2284 2480 2852 2855 3565 3680 4568 4960 5704 5710 7130 7360 9136 9920 11408 11420 13133 14260 17701 18272 22816 22840 26266 28520 35402 36544 45632 45680 52532 57040 65665 70804 88505 91360 105064 114080 131330 141608 177010 182720 210128 228160 262660 283216 354020 407123 420256 525320 566432 708040 814246 840512 1050640 1132864 1416080 1628492 2035615 2101280 2832160 3256984 4071230 4202560 5664320 6513968 8142460 13027936 16284920 26055872 32569840 65139680 130279360