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40820520 = 233513137191
BaseRepresentation
bin1001101110110…
…1111100101000
32211210220020010
42123231330220
540422224040
64014531520
71003653156
oct233557450
984726203
1040820520
1121051074
1211806ba0
1385c3170
1455c83d6
1538b4e80
hex26edf28

40820520 has 128 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 9922560.

The previous prime is 40820503. The next prime is 40820537. The reversal of 40820520 is 2502804.

It is an interprime number because it is at equal distance from previous prime (40820503) and next prime (40820537).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213625 + ... + 213815.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 240820520 is an apocalyptic number.

40820520 is a gapful number since it is divisible by the number (40) 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 40820520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

40820520 is an abundant number, since it is smaller than the sum of its proper divisors (92719320).

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

40820520 is a wasteful number, since it uses less digits than its factorization.

40820520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40820520 is about 6389.0938324617. The cubic root of 40820520 is about 344.3178286696.

The spelling of 40820520 in words is "forty million, eight hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 191 195 260 274 312 382 390 411 520 548 573 685 764 780 822 955 1096 1146 1370 1528 1560 1644 1781 1910 2055 2292 2483 2740 2865 3288 3562 3820 4110 4584 4966 5343 5480 5730 7124 7449 7640 8220 8905 9932 10686 11460 12415 14248 14898 16440 17810 19864 21372 22920 24830 26167 26715 29796 35620 37245 42744 49660 52334 53430 59592 71240 74490 78501 99320 104668 106860 130835 148980 157002 209336 213720 261670 297960 314004 340171 392505 523340 628008 680342 785010 1020513 1046680 1360684 1570020 1700855 2041026 2721368 3140040 3401710 4082052 5102565 6803420 8164104 10205130 13606840 20410260 40820520