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130162560 = 2735116163
BaseRepresentation
bin1111100001000…
…01111110000000
3100001220221110120
413300201332000
5231310200220
620525500240
73140235453
oct760417600
9301827416
10130162560
1167523070
1237711680
1320c74788
141340349a
15b661a40
hex7c21f80

130162560 has 128 divisors (see below), whose sum is σ = 452684160. Its totient is φ = 31549440.

The previous prime is 130162547. The next prime is 130162561. The reversal of 130162560 is 65261031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130162560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130162561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18039 + ... + 24201.

It is an arithmetic number, because the mean of its divisors is an integer number (3536595).

Almost surely, 2130162560 is an apocalyptic number.

130162560 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 130162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226342080).

130162560 is an abundant number, since it is smaller than the sum of its proper divisors (322521600).

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

130162560 is a wasteful number, since it uses less digits than its factorization.

130162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130162560 is about 11408.8807514147. The cubic root of 130162560 is about 506.7907667695.

It can be divided in two parts, 13016 and 2560, that added together give a triangular number (15576 = T176).

The spelling of 130162560 in words is "one hundred thirty million, one hundred sixty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 6163 7040 10560 12326 18489 21120 24652 30815 36978 49304 61630 67793 73956 92445 98608 123260 135586 147912 184890 197216 203379 246520 271172 295824 338965 369780 394432 406758 493040 542344 591648 677930 739560 788864 813516 986080 1016895 1084688 1183296 1355860 1479120 1627032 1972160 2033790 2169376 2366592 2711720 2958240 3254064 3944320 4067580 4338752 5423440 5916480 6508128 8135160 8677504 10846880 11832960 13016256 16270320 21693760 26032512 32540640 43387520 65081280 130162560