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130407240 = 233523371277
BaseRepresentation
bin1111100010111…
…01101101001000
3100002101101002210
413301131231020
5231341012430
620535025120
73142305015
oct761355510
9302341083
10130407240
116767a987
123780b1a0
132102bc62
141346870c
15b6ae2b0
hex7c5db48

130407240 has 128 divisors (see below), whose sum is σ = 419592960. Its totient is φ = 32338944.

The previous prime is 130407209. The next prime is 130407247. The reversal of 130407240 is 42704031.

It is not an unprimeable number, because it can be changed into a prime (130407247) 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, 101482 + ... + 102758.

It is an arithmetic number, because the mean of its divisors is an integer number (3278070).

Almost surely, 2130407240 is an apocalyptic number.

130407240 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 130407240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209796480).

130407240 is an abundant number, since it is smaller than the sum of its proper divisors (289185720).

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

130407240 is a wasteful number, since it uses less digits than its factorization.

130407240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 130407240 is about 11419.5989421696. The cubic root of 130407240 is about 507.1081236355.

The spelling of 130407240 in words is "one hundred thirty million, four hundred seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1277 1380 1480 1702 2220 2553 2554 2760 3404 3831 4255 4440 5106 5108 6385 6808 7662 8510 10212 10216 12765 12770 15324 17020 19155 20424 25530 25540 29371 30648 34040 38310 47249 51060 51080 58742 76620 88113 94498 102120 117484 141747 146855 153240 176226 188996 234968 236245 283494 293710 352452 377992 440565 472490 566988 587420 704904 708735 881130 944980 1086727 1133976 1174840 1417470 1762260 1889960 2173454 2834940 3260181 3524520 4346908 5433635 5669880 6520362 8693816 10867270 13040724 16300905 21734540 26081448 32601810 43469080 65203620 130407240