Search a number
-
+
20667960 = 233456379
BaseRepresentation
bin100111011010…
…1111000111000
31102220001010000
41032311320320
520242333320
62014553000
7340450305
oct116657070
942801100
1020667960
1110737165
126b08760
134388481
142a600ac
151c33c90
hex13b5e38

20667960 has 80 divisors (see below), whose sum is σ = 69478200. Its totient is φ = 5510592.

The previous prime is 20667943. The next prime is 20667967. The reversal of 20667960 is 6976602.

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 (20667967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51 + ... + 6429.

Almost surely, 220667960 is an apocalyptic number.

20667960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20667960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34739100).

20667960 is an abundant number, since it is smaller than the sum of its proper divisors (48810240).

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

20667960 is a wasteful number, since it uses less digits than its factorization.

20667960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20667960 is about 4546.2028111381. The cubic root of 20667960 is about 274.4306014655.

The spelling of 20667960 in words is "twenty million, six hundred sixty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6379 12758 19137 25516 31895 38274 51032 57411 63790 76548 95685 114822 127580 153096 172233 191370 229644 255160 287055 344466 382740 459288 516699 574110 688932 765480 861165 1033398 1148220 1377864 1722330 2066796 2296440 2583495 3444660 4133592 5166990 6889320 10333980 20667960