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130110720 = 2835311093
BaseRepresentation
bin1111100000101…
…01010100000000
3100001211022100120
413300111110000
5231302020340
620524420240
73136631355
oct760252400
9301738316
10130110720
1167498123
12376a7680
1320c56cbc
14133cc62c
15b6514d0
hex7c15500

130110720 has 144 divisors (see below), whose sum is σ = 429338112. Its totient is φ = 33546240.

The previous prime is 130110719. The next prime is 130110731. The reversal of 130110720 is 27011031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130110720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118494 + ... + 119586.

Almost surely, 2130110720 is an apocalyptic number.

130110720 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 130110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214669056).

130110720 is an abundant number, since it is smaller than the sum of its proper divisors (299227392).

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

130110720 is a wasteful number, since it uses less digits than its factorization.

130110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 130110720 is about 11406.6086108010. The cubic root of 130110720 is about 506.7234777787.

Adding to 130110720 its reverse (27011031), we get a palindrome (157121751).

It can be divided in two parts, 1301 and 10720, that added together give a palindrome (12021).

The spelling of 130110720 in words is "one hundred thirty million, one hundred ten thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1093 1240 1280 1488 1860 1920 1984 2186 2480 2976 3279 3720 3840 3968 4372 4960 5465 5952 6558 7440 7936 8744 9920 10930 11904 13116 14880 16395 17488 19840 21860 23808 26232 29760 32790 33883 34976 39680 43720 52464 59520 65580 67766 69952 87440 101649 104928 119040 131160 135532 139904 169415 174880 203298 209856 262320 271064 279808 338830 349760 406596 419712 508245 524640 542128 677660 699520 813192 839424 1016490 1049280 1084256 1355320 1399040 1626384 2032980 2098560 2168512 2710640 3252768 4065960 4197120 4337024 5421280 6505536 8131920 8674048 10842560 13011072 16263840 21685120 26022144 32527680 43370240 65055360 130110720