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20123240 = 23517101293
BaseRepresentation
bin100110011000…
…0111001101000
31101212100220012
41030300321220
520122420430
61555151052
7333021224
oct114607150
941770805
1020123240
11103a4985
1268a5488
134227557
14295b784
151b77695
hex1330e68

20123240 has 64 divisors (see below), whose sum is σ = 48580560. Its totient is φ = 7475200.

The previous prime is 20123239. The next prime is 20123263. The reversal of 20123240 is 4232102.

It can be written as a sum of positive squares in 8 ways, for example, as 19731364 + 391876 = 4442^2 + 626^2 .

It is an unprimeable number.

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, 68534 + ... + 68826.

Almost surely, 220123240 is an apocalyptic number.

20123240 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 20123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24290280).

20123240 is an abundant number, since it is smaller than the sum of its proper divisors (28457320).

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

20123240 is a wasteful number, since it uses less digits than its factorization.

20123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20123240 is about 4485.8934450118. The cubic root of 20123240 is about 271.9981617523.

Adding to 20123240 its reverse (4232102), we get a palindrome (24355342).

The spelling of 20123240 in words is "twenty million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 101 136 170 202 293 340 404 505 586 680 808 1010 1172 1465 1717 2020 2344 2930 3434 4040 4981 5860 6868 8585 9962 11720 13736 17170 19924 24905 29593 34340 39848 49810 59186 68680 99620 118372 147965 199240 236744 295930 503081 591860 1006162 1183720 2012324 2515405 4024648 5030810 10061620 20123240