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20084976 = 2433192447
BaseRepresentation
bin100110010011…
…1100011110000
31101210102102000
41030213203300
520120204401
61554254000
7332501532
oct114474360
941712360
1020084976
111037915a
126887300
134213002
14294b852
151b6b186
hex13278f0

20084976 has 80 divisors (see below), whose sum is σ = 60710400. Its totient is φ = 6340032.

The previous prime is 20084971. The next prime is 20084983. The reversal of 20084976 is 67948002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20084976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6985 + ... + 9431.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 220084976 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 20084976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

20084976 is an abundant number, since it is smaller than the sum of its proper divisors (40625424).

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

20084976 is a wasteful number, since it uses less digits than its factorization.

20084976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20084976 is about 4481.6264904608. The cubic root of 20084976 is about 271.8256523991.

The spelling of 20084976 in words is "twenty million, eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2447 2736 4104 4894 7341 8208 9788 14682 19576 22023 29364 39152 44046 46493 58728 66069 88092 92986 117456 132138 139479 176184 185972 264276 278958 352368 371944 418437 528552 557916 743888 836874 1057104 1115832 1255311 1673748 2231664 2510622 3347496 5021244 6694992 10042488 20084976