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400794030 = 232572136991
BaseRepresentation
bin10111111000111…
…010000110101110
31000221011110001100
4113320322012232
51310100402110
6103434223530
712634456500
oct2770720656
91027143040
10400794030
1119626853a
12b2284ba6
136505bb40
143b32dd70
15252bdbc0
hex17e3a1ae

400794030 has 144 divisors (see below), whose sum is σ = 1305630144. Its totient is φ = 84551040.

The previous prime is 400794001. The next prime is 400794041. The reversal of 400794030 is 30497004.

It is a junction number, because it is equal to n+sod(n) for n = 400793985 and 400794003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53835 + ... + 60825.

It is an arithmetic number, because the mean of its divisors is an integer number (9066876).

Almost surely, 2400794030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400794030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652815072).

400794030 is an abundant number, since it is smaller than the sum of its proper divisors (904836114).

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

400794030 is a wasteful number, since it uses less digits than its factorization.

400794030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7021 counting only the distinct ones).

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

The square root of 400794030 is about 20019.8409084588. The cubic root of 400794030 is about 737.2935160716.

It can be divided in two parts, 400 and 794030, that added together give a triangular number (794430 = T1260).

The spelling of 400794030 in words is "four hundred million, seven hundred ninety-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 6991 8190 9555 11466 13982 19110 20973 28665 34955 41946 48937 57330 62919 69910 90883 97874 104865 125838 146811 181766 209730 244685 272649 293622 314595 342559 440433 454415 489370 545298 629190 636181 685118 734055 817947 880866 908830 1027677 1272362 1363245 1468110 1635894 1712795 1908543 2055354 2202165 2726490 3083031 3180905 3425590 3817086 4089735 4404330 4453267 5138385 5725629 6166062 6361810 8179470 8906534 9542715 10276770 11451258 13359801 15415155 19085430 22266335 26719602 28628145 30830310 40079403 44532670 57256290 66799005 80158806 133598010 200397015 400794030