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40676130 = 232511181227
BaseRepresentation
bin1001101100101…
…0101100100010
32211112120011100
42123022230202
540403114010
64011455230
71002512205
oct233125442
984476140
1040676130
1120a62640
1211757516
138572521
14558b93c
1538872c0
hex26cab22

40676130 has 96 divisors (see below), whose sum is σ = 116520768. Its totient is φ = 9763200.

The previous prime is 40676117. The next prime is 40676143. The reversal of 40676130 is 3167604.

40676130 is a `hidden beast` number, since 40 + 6 + 7 + 613 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40676117) and next prime (40676143).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40676094 and 40676103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179077 + ... + 179303.

It is an arithmetic number, because the mean of its divisors is an integer number (1213758).

Almost surely, 240676130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40676130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

40676130 is an abundant number, since it is smaller than the sum of its proper divisors (75844638).

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

40676130 is a wasteful number, since it uses less digits than its factorization.

40676130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40676130 is about 6377.7840979450. The cubic root of 40676130 is about 343.9113763499.

The spelling of 40676130 in words is "forty million, six hundred seventy-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 181 198 227 330 362 454 495 543 681 905 990 1086 1135 1362 1629 1810 1991 2043 2270 2497 2715 3258 3405 3982 4086 4994 5430 5973 6810 7491 8145 9955 10215 11946 12485 14982 16290 17919 19910 20430 22473 24970 29865 35838 37455 41087 44946 59730 74910 82174 89595 112365 123261 179190 205435 224730 246522 369783 410870 451957 616305 739566 903914 1232610 1355871 1848915 2259785 2711742 3697830 4067613 4519570 6779355 8135226 13558710 20338065 40676130