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20101662 = 2337271107
BaseRepresentation
bin100110010101…
…1101000011110
31101211021022000
41030223220132
520121223122
61554503130
7332601300
oct114535036
941737260
1020101662
111038a749
126894aa6
13421a799
142953970
151b710ac
hex132ba1e

20101662 has 96 divisors (see below), whose sum is σ = 53187840. Its totient is φ = 5609520.

The previous prime is 20101661. The next prime is 20101663. The reversal of 20101662 is 26610102.

It is a happy number.

20101662 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 662 = 666.

It is an interprime number because it is at equal distance from previous prime (20101661) and next prime (20101663).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101661) 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, 187813 + ... + 187919.

It is an arithmetic number, because the mean of its divisors is an integer number (554040).

Almost surely, 220101662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26593920).

20101662 is an abundant number, since it is smaller than the sum of its proper divisors (33086178).

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

20101662 is a wasteful number, since it uses less digits than its factorization.

20101662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20101662 is about 4483.4877049012. The cubic root of 20101662 is about 271.9009064493.

Adding to 20101662 its reverse (26610102), we get a palindrome (46711764).

The spelling of 20101662 in words is "twenty million, one hundred one thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 71 98 107 126 142 147 189 213 214 294 321 378 426 441 497 639 642 749 882 963 994 1278 1323 1491 1498 1917 1926 2247 2646 2889 2982 3479 3834 4473 4494 5243 5778 6741 6958 7597 8946 10437 10486 13419 13482 15194 15729 20223 20874 22791 26838 31311 31458 40446 45582 47187 53179 62622 68373 93933 94374 106358 136746 141561 159537 187866 205119 283122 319074 372253 410238 478611 744506 957222 1116759 1435833 2233518 2871666 3350277 6700554 10050831 20101662