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20106240 = 2103571117
BaseRepresentation
bin100110010110…
…0110000000000
31101211111120120
41030230300000
520121344430
61554540240
7332620530
oct114546000
941744516
1020106240
1110393130
126897680
13421c8ab
1429554c0
151b72610
hex132cc00

20106240 has 352 divisors, whose sum is σ = 84893184. Its totient is φ = 3932160.

The previous prime is 20106227. The next prime is 20106253. The reversal of 20106240 is 4260102.

It is an interprime number because it is at equal distance from previous prime (20106227) and next prime (20106253).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182712 + ... + 1182728.

Almost surely, 220106240 is an apocalyptic number.

20106240 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 20106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42446592).

20106240 is an abundant number, since it is smaller than the sum of its proper divisors (64786944).

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

20106240 is a wasteful number, since it uses less digits than its factorization.

20106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20106240 is about 4483.9982158783. The cubic root of 20106240 is about 271.9215460008.

Adding to 20106240 its reverse (4260102), we get a palindrome (24366342).

It can be divided in two parts, 201062 and 40, that added together give a palindrome (201102).

The spelling of 20106240 in words is "twenty million, one hundred six thousand, two hundred forty".