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130910040 = 23335472579
BaseRepresentation
bin1111100110110…
…00011101011000
3100010022220211000
413303120131120
5232003110130
620553505000
73146500632
oct763303530
9303286730
10130910040
1167993718
1237a12160
1321176a81
1413559a52
15b75d260
hex7cd8758

130910040 has 128 divisors (see below), whose sum is σ = 445824000. Its totient is φ = 34153344.

The previous prime is 130910029. The next prime is 130910041. The reversal of 130910040 is 40019031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130909995 and 130910022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130910041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49471 + ... + 52049.

It is an arithmetic number, because the mean of its divisors is an integer number (3483000).

Almost surely, 2130910040 is an apocalyptic number.

130910040 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 130910040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222912000).

130910040 is an abundant number, since it is smaller than the sum of its proper divisors (314913960).

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

130910040 is a wasteful number, since it uses less digits than its factorization.

130910040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130910040 is about 11441.5925464946. The cubic root of 130910040 is about 507.7590255613.

Adding to 130910040 its reverse (40019031), we get a palindrome (170929071).

The spelling of 130910040 in words is "one hundred thirty million, nine hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2579 2820 3384 4230 5076 5158 5640 6345 7737 8460 10152 10316 12690 12895 15474 16920 20632 23211 25380 25790 30948 38685 46422 50760 51580 61896 69633 77370 92844 103160 116055 121213 139266 154740 185688 232110 242426 278532 309480 348165 363639 464220 484852 557064 606065 696330 727278 928440 969704 1090917 1212130 1392660 1454556 1818195 2181834 2424260 2785320 2909112 3272751 3636390 4363668 4848520 5454585 6545502 7272780 8727336 10909170 13091004 14545560 16363755 21818340 26182008 32727510 43636680 65455020 130910040