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20900376 = 2333723601
BaseRepresentation
bin100111110111…
…0101000011000
31110022211221000
41033232220120
520322303001
62023545000
7342436020
oct117565030
943284830
1020900376
1110885842
126bbb160
13443a1b3
142ac0a80
151c7ca86
hex13eea18

20900376 has 128 divisors (see below), whose sum is σ = 69350400. Its totient is φ = 5702400.

The previous prime is 20900371. The next prime is 20900377. The reversal of 20900376 is 67300902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20900371) 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 31 ways as a sum of consecutive naturals, for example, 34476 + ... + 35076.

It is an arithmetic number, because the mean of its divisors is an integer number (541800).

Almost surely, 220900376 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 20900376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34675200).

20900376 is an abundant number, since it is smaller than the sum of its proper divisors (48450024).

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

20900376 is a wasteful number, since it uses less digits than its factorization.

20900376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20900376 is about 4571.6929030721. The cubic root of 20900376 is about 275.4554480369.

The spelling of 20900376 in words is "twenty million, nine hundred thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 601 621 644 756 828 966 1202 1242 1288 1449 1512 1656 1803 1932 2404 2484 2898 3606 3864 4207 4347 4808 4968 5409 5796 7212 8414 8694 10818 11592 12621 13823 14424 16227 16828 17388 21636 25242 27646 32454 33656 34776 37863 41469 43272 50484 55292 64908 75726 82938 96761 100968 110584 113589 124407 129816 151452 165876 193522 227178 248814 290283 302904 331752 373221 387044 454356 497628 580566 746442 774088 870849 908712 995256 1161132 1492884 1741698 2322264 2612547 2985768 3483396 5225094 6966792 10450188 20900376