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130854100 = 2252131731191
BaseRepresentation
bin1111100110010…
…10110011010100
3100010020002002011
413303022303110
5231444312400
620552354004
73146145556
oct763126324
9303202064
10130854100
1167955693
12379a5904
1321157480
14135434d6
15b74b8ba
hex7ccacd4

130854100 has 144 divisors (see below), whose sum is σ = 335978496. Its totient is φ = 43776000.

The previous prime is 130854091. The next prime is 130854103. The reversal of 130854100 is 1458031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130854103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685005 + ... + 685195.

It is an arithmetic number, because the mean of its divisors is an integer number (2333184).

Almost surely, 2130854100 is an apocalyptic number.

130854100 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 130854100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

130854100 is an abundant number, since it is smaller than the sum of its proper divisors (205124396).

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

130854100 is a wasteful number, since it uses less digits than its factorization.

130854100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 130854100 is about 11439.1476955235. The cubic root of 130854100 is about 507.6866906798.

The spelling of 130854100 in words is "one hundred thirty million, eight hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 31 34 50 52 62 65 68 85 100 124 130 155 170 191 221 260 310 325 340 382 403 425 442 527 620 650 764 775 806 850 884 955 1054 1105 1300 1550 1612 1700 1910 2015 2108 2210 2483 2635 3100 3247 3820 4030 4420 4775 4966 5270 5525 5921 6494 6851 8060 9550 9932 10075 10540 11050 11842 12415 12988 13175 13702 16235 19100 20150 22100 23684 24830 26350 27404 29605 32470 34255 40300 42211 49660 52700 59210 62075 64940 68510 76973 81175 84422 100657 118420 124150 137020 148025 153946 162350 168844 171275 201314 211055 248300 296050 307892 324700 342550 384865 402628 422110 503285 592100 685100 769730 844220 1006570 1055275 1308541 1539460 1924325 2013140 2110550 2516425 2617082 3848650 4221100 5032850 5234164 6542705 7697300 10065700 13085410 26170820 32713525 65427050 130854100