Search a number
-
+
20719152 = 2435732
BaseRepresentation
bin100111100001…
…0011000110000
31102222122100000
41033002120300
520301003102
62020030000
7341052456
oct117023060
942878300
1020719152
1110771673
126b32300
1343a586c
142a749d6
151c4401c
hex13c2630

20719152 has 90 divisors (see below), whose sum is σ = 60967452. Its totient is φ = 6811776.

The previous prime is 20719121. The next prime is 20719157. The reversal of 20719152 is 25191702.

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

It is not an unprimeable number, because it can be changed into a prime (20719157) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 283788 + ... + 283860.

Almost surely, 220719152 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 20719152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30483726).

20719152 is an abundant number, since it is smaller than the sum of its proper divisors (40248300).

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

20719152 is an frugal number, since it uses more digits than its factorization.

20719152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 20719152 is about 4551.8295222910. The cubic root of 20719152 is about 274.6569916262.

Multiplying 20719152 by its sum of digits (27), we get a square (559417104 = 236522).

20719152 divided by its sum of digits (27) gives a square (767376 = 8762).

The spelling of 20719152 in words is "twenty million, seven hundred nineteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 243 292 324 432 438 486 584 648 657 876 972 1168 1296 1314 1752 1944 1971 2628 3504 3888 3942 5256 5329 5913 7884 10512 10658 11826 15768 15987 17739 21316 23652 31536 31974 35478 42632 47304 47961 63948 70956 85264 94608 95922 127896 141912 143883 191844 255792 283824 287766 383688 431649 575532 767376 863298 1151064 1294947 1726596 2302128 2589894 3453192 5179788 6906384 10359576 20719152