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20679552 = 273229619
BaseRepresentation
bin100111011100…
…0101110000000
31102220122000100
41032320232000
520243221202
62015122400
7340526145
oct116705600
942818010
1020679552
1110744943
126b13400
13439082a
142a643cc
151c3741c
hex13b8b80

20679552 has 96 divisors (see below), whose sum is σ = 61659000. Its totient is φ = 6644736.

The previous prime is 20679551. The next prime is 20679563. The reversal of 20679552 is 25597602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20679551) 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 11 ways as a sum of consecutive naturals, for example, 33099 + ... + 33717.

Almost surely, 220679552 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 20679552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30829500).

20679552 is an abundant number, since it is smaller than the sum of its proper divisors (40979448).

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

20679552 is a wasteful number, since it uses less digits than its factorization.

20679552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 20679552 is about 4547.4775425504. The cubic root of 20679552 is about 274.4818983355.

The spelling of 20679552 in words is "twenty million, six hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 619 696 928 1044 1152 1238 1392 1856 1857 2088 2476 2784 3712 3714 4176 4952 5568 5571 7428 8352 9904 11136 11142 14856 16704 17951 19808 22284 29712 33408 35902 39616 44568 53853 59424 71804 79232 89136 107706 118848 143608 161559 178272 215412 237696 287216 323118 356544 430824 574432 646236 713088 861648 1148864 1292472 1723296 2297728 2584944 3446592 5169888 6893184 10339776 20679552