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20993970 = 2352959409
BaseRepresentation
bin101000000010…
…1011110110010
31110111121022110
41100011132302
520333301340
62025550150
7343305624
oct120053662
943447273
1020993970
111093a098
127045356
13447098a
142b06c14
151c9a680
hex14057b2

20993970 has 64 divisors (see below), whose sum is σ = 53136000. Its totient is φ = 5300736.

The previous prime is 20993953. The next prime is 20993971. The reversal of 20993970 is 7939902.

It is not an unprimeable number, because it can be changed into a prime (20993971) 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 31 ways as a sum of consecutive naturals, for example, 51126 + ... + 51534.

It is an arithmetic number, because the mean of its divisors is an integer number (830250).

Almost surely, 220993970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20993970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26568000).

20993970 is an abundant number, since it is smaller than the sum of its proper divisors (32142030).

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

20993970 is a wasteful number, since it uses less digits than its factorization.

20993970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507.

The product of its (nonzero) digits is 30618, while the sum is 39.

The square root of 20993970 is about 4581.9177207802. The cubic root of 20993970 is about 275.8660082645.

The spelling of 20993970 in words is "twenty million, nine hundred ninety-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 59 87 118 145 174 177 290 295 354 409 435 590 818 870 885 1227 1711 1770 2045 2454 3422 4090 5133 6135 8555 10266 11861 12270 17110 23722 24131 25665 35583 48262 51330 59305 71166 72393 118610 120655 144786 177915 241310 355830 361965 699799 723930 1399598 2099397 3498995 4198794 6997990 10496985 20993970