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40807060 = 22571923229
BaseRepresentation
bin1001101110101…
…0101010010100
32211210012202121
42123222222110
540421311220
64014345324
71003566010
oct233525224
984705677
1040807060
1121041a48
12117bb244
1385b9cb8
1455c3540
1538b0eaa
hex26eaa94

40807060 has 144 divisors (see below), whose sum is σ = 111484800. Its totient is φ = 12241152.

The previous prime is 40807057. The next prime is 40807061. The reversal of 40807060 is 6070804.

40807060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×408070602 = 3330432291687200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40807061) 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 47 ways as a sum of consecutive naturals, for example, 1407126 + ... + 1407154.

It is an arithmetic number, because the mean of its divisors is an integer number (774200).

Almost surely, 240807060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40807060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55742400).

40807060 is an abundant number, since it is smaller than the sum of its proper divisors (70677740).

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

40807060 is a wasteful number, since it uses less digits than its factorization.

40807060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 40807060 is about 6388.0403881003. The cubic root of 40807060 is about 344.2799798340.

Adding to 40807060 its reverse (6070804), we get a palindrome (46877864).

The spelling of 40807060 in words is "forty million, eight hundred seven thousand, sixty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 29 35 38 46 58 70 76 92 95 115 116 133 140 145 161 190 203 230 266 290 322 380 406 437 460 529 532 551 580 644 665 667 805 812 874 1015 1058 1102 1330 1334 1610 1748 2030 2116 2185 2204 2645 2660 2668 2755 3059 3220 3335 3703 3857 4060 4370 4669 5290 5510 6118 6670 7406 7714 8740 9338 10051 10580 11020 12236 12673 13340 14812 15295 15341 15428 18515 18676 19285 20102 23345 25346 30590 30682 37030 38570 40204 46690 50255 50692 61180 61364 63365 70357 74060 76705 77140 88711 93380 100510 107387 126730 140714 153410 177422 201020 214774 253460 281428 291479 306820 351785 354844 429548 443555 536935 582958 703570 887110 1073870 1165916 1407140 1457395 1774220 2040353 2147740 2914790 4080706 5829580 8161412 10201765 20403530 40807060