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20697400 = 2352239433
BaseRepresentation
bin100111011110…
…1000100111000
31102221112111101
41032331010320
520244304100
62015341144
7340632163
oct116750470
942845441
1020697400
1110757299
126b217b4
1343989a9
142a6aada
151c3c86a
hex13bd138

20697400 has 48 divisors (see below), whose sum is σ = 48434400. Its totient is φ = 8225280.

The previous prime is 20697389. The next prime is 20697421. The reversal of 20697400 is 479602.

It is a super-3 number, since 3×206974003 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47584 + ... + 48016.

It is an arithmetic number, because the mean of its divisors is an integer number (1009050).

Almost surely, 220697400 is an apocalyptic number.

20697400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20697400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24217200).

20697400 is an abundant number, since it is smaller than the sum of its proper divisors (27737000).

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

20697400 is a wasteful number, since it uses less digits than its factorization.

20697400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 20697400 is about 4549.4395259196. The cubic root of 20697400 is about 274.5608417641.

The spelling of 20697400 in words is "twenty million, six hundred ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 239 433 478 866 956 1195 1732 1912 2165 2390 3464 4330 4780 5975 8660 9560 10825 11950 17320 21650 23900 43300 47800 86600 103487 206974 413948 517435 827896 1034870 2069740 2587175 4139480 5174350 10348700 20697400