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20973330 = 23757137
BaseRepresentation
bin101000000000…
…0011100010010
31110110120000000
41100000130102
520332121310
62025310430
7343161510
oct120003422
943416000
1020973330
1110925634
127035416
134464471
142add4b0
151c944c0
hex1400712

20973330 has 128 divisors (see below), whose sum is σ = 65180160. Its totient is φ = 4758912.

The previous prime is 20973317. The next prime is 20973331. The reversal of 20973330 is 3337902.

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

It is a junction number, because it is equal to n+sod(n) for n = 20973294 and 20973303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20973331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153022 + ... + 153158.

It is an arithmetic number, because the mean of its divisors is an integer number (509220).

Almost surely, 220973330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20973330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32590080).

20973330 is an abundant number, since it is smaller than the sum of its proper divisors (44206830).

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

20973330 is an equidigital number, since it uses as much as digits as its factorization.

20973330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 20973330 is about 4579.6648348979. The cubic root of 20973330 is about 275.7755737034.

The spelling of 20973330 in words is "twenty million, nine hundred seventy-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 137 162 189 210 243 270 274 315 378 405 411 486 567 630 685 729 810 822 945 959 1134 1215 1233 1370 1458 1701 1890 1918 2055 2187 2430 2466 2835 2877 3402 3645 3699 4110 4374 4795 5103 5670 5754 6165 7290 7398 8505 8631 9590 10206 10935 11097 12330 14385 15309 17010 17262 18495 21870 22194 25515 25893 28770 30618 33291 36990 43155 51030 51786 55485 66582 76545 77679 86310 99873 110970 129465 153090 155358 166455 199746 233037 258930 299619 332910 388395 466074 499365 599238 699111 776790 998730 1165185 1398222 1498095 2097333 2330370 2996190 3495555 4194666 6991110 10486665 20973330