Search a number
-
+
20948616 = 23321322381
BaseRepresentation
bin100111111101…
…0011010001000
31110102022002200
41033322122020
520330323431
62025000200
7343026453
oct117723210
943368080
1020948616
1110909007
127023060
134456140
142ad449a
151c8bee6
hex13fa688

20948616 has 48 divisors (see below), whose sum is σ = 61102860. Its totient is φ = 6445440.

The previous prime is 20948579. The next prime is 20948617. The reversal of 20948616 is 61684902.

It can be written as a sum of positive squares in 2 ways, for example, as 20520900 + 427716 = 4530^2 + 654^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20948617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10255 + ... + 12126.

Almost surely, 220948616 is an apocalyptic number.

20948616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20948616 is an abundant number, since it is smaller than the sum of its proper divisors (40154244).

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

20948616 is a wasteful number, since it uses less digits than its factorization.

20948616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22406 (or 22399 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20948616 is about 4576.9658071696. The cubic root of 20948616 is about 275.6672107442.

The spelling of 20948616 in words is "twenty million, nine hundred forty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 22381 44762 67143 89524 134286 179048 201429 268572 290953 402858 537144 581906 805716 872859 1163812 1611432 1745718 2327624 2618577 3491436 5237154 6982872 10474308 20948616