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130621600 = 25522331229
BaseRepresentation
bin1111100100100…
…10000010100000
3100002210021011001
413302102002200
5231414342400
620543401344
73144156664
oct762220240
9302707131
10130621600
1167806a3a
12378b3254
13210a56b5
14134c28a4
15b702a6a
hex7c920a0

130621600 has 144 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 48153600.

The previous prime is 130621511. The next prime is 130621607. The reversal of 130621600 is 6126031.

It is not an unprimeable number, because it can be changed into a prime (130621607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570286 + ... + 570514.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2130621600 is an apocalyptic number.

130621600 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 130621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

130621600 is an abundant number, since it is smaller than the sum of its proper divisors (214356320).

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

130621600 is a wasteful number, since it uses less digits than its factorization.

130621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 130621600 is about 11428.9807069572. The cubic root of 130621600 is about 507.3858285397.

Adding to 130621600 its reverse (6126031), we get a palindrome (136747631).

The spelling of 130621600 in words is "one hundred thirty million, six hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 62 80 92 100 115 124 155 160 184 200 229 230 248 310 368 400 458 460 496 575 620 713 736 775 800 916 920 992 1145 1150 1240 1426 1550 1832 1840 2290 2300 2480 2852 3100 3565 3664 3680 4580 4600 4960 5267 5704 5725 6200 7099 7130 7328 9160 9200 10534 11408 11450 12400 14198 14260 17825 18320 18400 21068 22816 22900 24800 26335 28396 28520 35495 35650 36640 42136 45800 52670 56792 57040 70990 71300 84272 91600 105340 113584 114080 131675 141980 142600 163277 168544 177475 183200 210680 227168 263350 283960 285200 326554 354950 421360 526700 567920 570400 653108 709900 816385 842720 1053400 1135840 1306216 1419800 1632770 2106800 2612432 2839600 3265540 4081925 4213600 5224864 5679200 6531080 8163850 13062160 16327700 26124320 32655400 65310800 130621600