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130467040 = 25511223293
BaseRepresentation
bin1111100011011…
…00010011100000
3100002111102010121
413301230103200
5231344421130
620540210024
73142644244
oct761542340
9302442117
10130467040
1167710900
1237839914
1321050242
1413482424
15b6c1d7a
hex7c6c4e0

130467040 has 144 divisors (see below), whose sum is σ = 354733344. Its totient is φ = 45224960.

The previous prime is 130467013. The next prime is 130467041. The reversal of 130467040 is 40764031.

It is a junction number, because it is equal to n+sod(n) for n = 130466996 and 130467014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130467041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445134 + ... + 445426.

It is an arithmetic number, because the mean of its divisors is an integer number (2463426).

Almost surely, 2130467040 is an apocalyptic number.

130467040 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 130467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177366672).

130467040 is an abundant number, since it is smaller than the sum of its proper divisors (224266304).

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

130467040 is a wasteful number, since it uses less digits than its factorization.

130467040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 130467040 is about 11422.2169476858. The cubic root of 130467040 is about 507.1856255484.

The spelling of 130467040 in words is "one hundred thirty million, four hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 121 160 176 184 220 230 242 253 293 352 368 440 460 484 506 586 605 736 880 920 968 1012 1172 1210 1265 1465 1760 1840 1936 2024 2344 2420 2530 2783 2930 3223 3680 3872 4048 4688 4840 5060 5566 5860 6446 6739 8096 9376 9680 10120 11132 11720 12892 13478 13915 16115 19360 20240 22264 23440 25784 26956 27830 32230 33695 35453 40480 44528 46880 51568 53912 55660 64460 67390 70906 74129 89056 103136 107824 111320 128920 134780 141812 148258 177265 215648 222640 257840 269560 283624 296516 354530 370645 445280 515680 539120 567248 593032 709060 741290 815419 1078240 1134496 1186064 1418120 1482580 1630838 2372128 2836240 2965160 3261676 4077095 5672480 5930320 6523352 8154190 11860640 13046704 16308380 26093408 32616760 65233520 130467040