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20719272 = 2337196491
BaseRepresentation
bin100111100001…
…0011010101000
31102222122111110
41033002122220
520301004042
62020030320
7341053020
oct117023250
942878443
1020719272
1110771772
126b323a0
1343a5932
142a74a80
151c4409c
hex13c26a8

20719272 has 64 divisors (see below), whose sum is σ = 62323200. Its totient is φ = 5607360.

The previous prime is 20719271. The next prime is 20719273. The reversal of 20719272 is 27291702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20719271) and next prime (20719273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20719271) 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 15 ways as a sum of consecutive naturals, for example, 54 + ... + 6437.

It is an arithmetic number, because the mean of its divisors is an integer number (973800).

Almost surely, 220719272 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 20719272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31161600).

20719272 is an abundant number, since it is smaller than the sum of its proper divisors (41603928).

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

20719272 is a wasteful number, since it uses less digits than its factorization.

20719272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 20719272 is about 4551.8427037849. The cubic root of 20719272 is about 274.6575218727.

The spelling of 20719272 in words is "twenty million, seven hundred nineteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 6491 12982 19473 25964 38946 45437 51928 77892 90874 123329 136311 155784 181748 246658 272622 363496 369987 493316 545244 739974 863303 986632 1090488 1479948 1726606 2589909 2959896 3453212 5179818 6906424 10359636 20719272