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130593720 = 23353767439
BaseRepresentation
bin1111100100010…
…11001110111000
3100002201211220110
413302023032320
5231412444340
620543024320
73144012465
oct762131670
9302654813
10130593720
1167797aa4
123789b0a0
1321095aba
14134b666c
15b6e9680
hex7c8b3b8

130593720 has 128 divisors (see below), whose sum is σ = 409305600. Its totient is φ = 33302016.

The previous prime is 130593713. The next prime is 130593739. The reversal of 130593720 is 27395031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297261 + ... + 297699.

It is an arithmetic number, because the mean of its divisors is an integer number (3197700).

Almost surely, 2130593720 is an apocalyptic number.

130593720 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 130593720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204652800).

130593720 is an abundant number, since it is smaller than the sum of its proper divisors (278711880).

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

130593720 is a wasteful number, since it uses less digits than its factorization.

130593720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 130593720 is about 11427.7609355464. The cubic root of 130593720 is about 507.3497269979.

The spelling of 130593720 in words is "one hundred thirty million, five hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 67 74 111 120 134 148 185 201 222 268 296 335 370 402 439 444 536 555 670 740 804 878 888 1005 1110 1317 1340 1480 1608 1756 2010 2195 2220 2479 2634 2680 3512 4020 4390 4440 4958 5268 6585 7437 8040 8780 9916 10536 12395 13170 14874 16243 17560 19832 24790 26340 29413 29748 32486 37185 48729 49580 52680 58826 59496 64972 74370 81215 88239 97458 99160 117652 129944 147065 148740 162430 176478 194916 235304 243645 294130 297480 324860 352956 389832 441195 487290 588260 649720 705912 882390 974580 1088281 1176520 1764780 1949160 2176562 3264843 3529560 4353124 5441405 6529686 8706248 10882810 13059372 16324215 21765620 26118744 32648430 43531240 65296860 130593720