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83916690 = 235111331631
BaseRepresentation
bin1010000000001…
…11011110010010
312211220102001120
411000013132102
5132440313230
612154343110
72036165034
oct500073622
9184812046
1083916690
1143406940
122412aa96
1314502060
14b205c54
157579310
hex5007792

83916690 has 128 divisors (see below), whose sum is σ = 244629504. Its totient is φ = 18144000.

The previous prime is 83916683. The next prime is 83916697. The reversal of 83916690 is 9661938.

It is an interprime number because it is at equal distance from previous prime (83916683) and next prime (83916697).

It is a super-2 number, since 2×839166902 = 14084021721112200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83916697) 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 63 ways as a sum of consecutive naturals, for example, 132675 + ... + 133305.

It is an arithmetic number, because the mean of its divisors is an integer number (1911168).

Almost surely, 283916690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83916690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122314752).

83916690 is an abundant number, since it is smaller than the sum of its proper divisors (160712814).

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

83916690 is a wasteful number, since it uses less digits than its factorization.

83916690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 83916690 is about 9160.6053293437. The cubic root of 83916690 is about 437.8070812799.

The spelling of 83916690 in words is "eighty-three million, nine hundred sixteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 31 33 39 55 62 65 66 78 93 110 130 143 155 165 186 195 286 310 330 341 390 403 429 465 631 682 715 806 858 930 1023 1209 1262 1430 1705 1893 2015 2046 2145 2418 3155 3410 3786 4030 4290 4433 5115 6045 6310 6941 8203 8866 9465 10230 12090 13299 13882 16406 18930 19561 20823 22165 24609 26598 34705 39122 41015 41646 44330 49218 58683 66495 69410 82030 90233 97805 104115 117366 123045 132990 180466 195610 208230 215171 246090 254293 270699 293415 430342 451165 508586 541398 586830 645513 762879 902330 1075855 1271465 1291026 1353495 1525758 2151710 2542930 2706990 2797223 3227565 3814395 5594446 6455130 7628790 8391669 13986115 16783338 27972230 41958345 83916690