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841010016 = 253711210343
BaseRepresentation
bin110010001000001…
…100101101100000
32011121111201212010
4302020030231200
53210244310031
6215241432520
726561316150
oct6210145540
92147451763
10841010016
113a1801300
121b579b740
13105311382
147d9a2760
154dc78246
hex3220cb60

841010016 has 144 divisors (see below), whose sum is σ = 2773516032. Its totient is φ = 218423040.

The previous prime is 841010003. The next prime is 841010017. The reversal of 841010016 is 610010148.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 841009974 and 841010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (841010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76141 + ... + 86483.

It is an arithmetic number, because the mean of its divisors is an integer number (19260528).

Almost surely, 2841010016 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 841010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386758016).

841010016 is an abundant number, since it is smaller than the sum of its proper divisors (1932506016).

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

841010016 is a wasteful number, since it uses less digits than its factorization.

841010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 841010016 is about 29000.1726891410. The cubic root of 841010016 is about 943.9168149433.

The spelling of 841010016 in words is "eight hundred forty-one million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6776 7392 10164 10343 11616 13552 20328 20686 27104 31029 40656 41372 62058 72401 81312 82744 113773 124116 144802 165488 217203 227546 248232 289604 330976 341319 434406 455092 496464 579208 682638 796411 868812 910184 992928 1158416 1251503 1365276 1592822 1737624 1820368 2316832 2389233 2503006 2730552 3185644 3475248 3640736 3754509 4778466 5006012 5461104 6371288 6950496 7509018 8760521 9556932 10012024 10922208 12742576 15018036 17521042 19113864 20024048 25485152 26281563 30036072 35042084 38227728 40048096 52563126 60072144 70084168 76455456 105126252 120144288 140168336 210252504 280336672 420505008 841010016