Search a number
-
+
20755504 = 2471117991
BaseRepresentation
bin100111100101…
…1010000110000
31110001111012101
41033023100300
520303134004
62020510144
7341263450
oct117132060
943044171
1020755504
1110796a10
126b4b354
1343b9283
142a83d60
151c4eba4
hex13cb430

20755504 has 80 divisors (see below), whose sum is σ = 53139456. Its totient is φ = 7603200.

The previous prime is 20755463. The next prime is 20755507. The reversal of 20755504 is 40555702.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20755507) 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, 20449 + ... + 21439.

Almost surely, 220755504 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 20755504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569728).

20755504 is an abundant number, since it is smaller than the sum of its proper divisors (32383952).

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

20755504 is a wasteful number, since it uses less digits than its factorization.

20755504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 20755504 is about 4555.8208920018. The cubic root of 20755504 is about 274.8175274344.

The spelling of 20755504 in words is "twenty million, seven hundred fifty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 991 1232 1309 1496 1904 1982 2618 2992 3964 5236 6937 7928 10472 10901 13874 15856 16847 20944 21802 27748 33694 43604 55496 67388 76307 87208 110992 117929 134776 152614 174416 185317 235858 269552 305228 370634 471716 610456 741268 943432 1220912 1297219 1482536 1886864 2594438 2965072 5188876 10377752 20755504