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130043280 = 24353311637
BaseRepresentation
bin1111100000001…
…00110110010000
3100001200212211210
413300010312100
5231242341110
620523140120
73136230633
oct760046620
9301625753
10130043280
1167451494
1237674640
1320c323b3
14133b1c1a
15b63b520
hex7c04d90

130043280 has 80 divisors (see below), whose sum is σ = 404599104. Its totient is φ = 34552320.

The previous prime is 130043237. The next prime is 130043297. The reversal of 130043280 is 82340031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1300432802 = 33822509346316800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78622 + ... + 80258.

Almost surely, 2130043280 is an apocalyptic number.

130043280 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 130043280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202299552).

130043280 is an abundant number, since it is smaller than the sum of its proper divisors (274555824).

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

130043280 is a wasteful number, since it uses less digits than its factorization.

130043280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130043280 is about 11403.6520466033. The cubic root of 130043280 is about 506.6359130302.

The spelling of 130043280 in words is "one hundred thirty million, forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 331 662 993 1324 1637 1655 1986 2648 3274 3310 3972 4911 4965 5296 6548 6620 7944 8185 9822 9930 13096 13240 15888 16370 19644 19860 24555 26192 26480 32740 39288 39720 49110 65480 78576 79440 98220 130960 196440 392880 541847 1083694 1625541 2167388 2709235 3251082 4334776 5418470 6502164 8127705 8669552 10836940 13004328 16255410 21673880 26008656 32510820 43347760 65021640 130043280