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19700064 = 25331512
BaseRepresentation
bin100101100100…
…1100101100000
31101001212102000
41023021211200
520020400224
61542124000
7326306406
oct113114540
941055360
1019700064
1110135a4a
126720600
134109a57
14288b476
151ae20c9
hex12c9960

19700064 has 72 divisors (see below), whose sum is σ = 57841560. Its totient is φ = 6523200.

The previous prime is 19700033. The next prime is 19700069. The reversal of 19700064 is 46000791.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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 (19700069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130389 + ... + 130539.

It is an arithmetic number, because the mean of its divisors is an integer number (803355).

Almost surely, 219700064 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 19700064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28920780).

19700064 is an abundant number, since it is smaller than the sum of its proper divisors (38141496).

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

19700064 is an equidigital number, since it uses as much as digits as its factorization.

19700064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 19700064 is about 4438.4754139231. The cubic root of 19700064 is about 270.0780021546.

The spelling of 19700064 in words is "nineteen million, seven hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 151 216 288 302 432 453 604 864 906 1208 1359 1812 2416 2718 3624 4077 4832 5436 7248 8154 10872 14496 16308 21744 22801 32616 43488 45602 65232 68403 91204 130464 136806 182408 205209 273612 364816 410418 547224 615627 729632 820836 1094448 1231254 1641672 2188896 2462508 3283344 4925016 6566688 9850032 19700064