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130898040 = 233571311987
BaseRepresentation
bin1111100110101…
…01100001111000
3100010022022100120
413303111201320
5232002214130
620553333240
73146420640
oct763254170
9303268316
10130898040
11679856a9
1237a07220
1321171480
1413555520
15b759910
hex7cd5878

130898040 has 128 divisors (see below), whose sum is σ = 483356160. Its totient is φ = 27615744.

The previous prime is 130898039. The next prime is 130898051. The reversal of 130898040 is 40898031.

It is a junction number, because it is equal to n+sod(n) for n = 130897992 and 130898010.

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, 4927 + ... + 16913.

It is an arithmetic number, because the mean of its divisors is an integer number (3776220).

Almost surely, 2130898040 is an apocalyptic number.

130898040 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 130898040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241678080).

130898040 is an abundant number, since it is smaller than the sum of its proper divisors (352458120).

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

130898040 is a wasteful number, since it uses less digits than its factorization.

130898040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 130898040 is about 11441.0681319534. The cubic root of 130898040 is about 507.7435103405.

Subtracting from 130898040 its reverse (40898031), we obtain a palindrome (90000009).

The spelling of 130898040 in words is "one hundred thirty million, eight hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 11987 23974 35961 47948 59935 71922 83909 95896 119870 143844 155831 167818 179805 239740 251727 287688 311662 335636 359610 419545 467493 479480 503454 623324 671272 719220 779155 839090 934986 1006908 1090817 1246648 1258635 1438440 1558310 1678180 1869972 2013816 2181634 2337465 2517270 3116620 3272451 3356360 3739944 4363268 4674930 5034540 5454085 6233240 6544902 8726536 9349860 10069080 10908170 13089804 16362255 18699720 21816340 26179608 32724510 43632680 65449020 130898040