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130021560 = 233251919009
BaseRepresentation
bin1111011111111…
…11100010111000
3100001122210001100
413233333202320
5231241142220
620522451400
73136110414
oct757774270
9301583040
10130021560
1167437139
1237663b60
1320c25546
14133a7d44
15b634d90
hex7bff8b8

130021560 has 96 divisors (see below), whose sum is σ = 444834000. Its totient is φ = 32845824.

The previous prime is 130021547. The next prime is 130021571. The reversal of 130021560 is 65120031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2665 + ... + 16344.

Almost surely, 2130021560 is an apocalyptic number.

130021560 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 130021560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222417000).

130021560 is an abundant number, since it is smaller than the sum of its proper divisors (314812440).

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

130021560 is a wasteful number, since it uses less digits than its factorization.

130021560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19045 (or 19038 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130021560 is about 11402.6996803389. The cubic root of 130021560 is about 506.6077051271.

Adding to 130021560 its reverse (65120031), we get a palindrome (195141591).

The spelling of 130021560 in words is "one hundred thirty million, twenty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 19009 38018 57027 76036 95045 114054 152072 171081 190090 228108 285135 342162 361171 380180 456216 570270 684324 722342 760360 855405 1083513 1140540 1368648 1444684 1710810 1805855 2167026 2281080 2889368 3250539 3421620 3611710 4334052 5417565 6501078 6843240 7223420 8668104 10835130 13002156 14446840 16252695 21670260 26004312 32505390 43340520 65010780 130021560