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2420140140 = 22335111812251
BaseRepresentation
bin1001000001000000…
…0110100001101100
320020122220212011000
42100100012201230
514424023441030
61040052000300
7113654565105
oct22020064154
96218825130
102420140140
111032119120
12576600090
132c751aab2
1418d5c33ac
15e2703860
hex9040686c

2420140140 has 192 divisors, whose sum is σ = 8262858240. Its totient is φ = 583200000.

The previous prime is 2420140139. The next prime is 2420140159. The reversal of 2420140140 is 410410242.

2420140140 is a `hidden beast` number, since 24 + 201 + 401 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1074015 + ... + 1076265.

It is an arithmetic number, because the mean of its divisors is an integer number (43035720).

Almost surely, 22420140140 is an apocalyptic number.

2420140140 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 2420140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4131429120).

2420140140 is an abundant number, since it is smaller than the sum of its proper divisors (5842718100).

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

2420140140 is a wasteful number, since it uses less digits than its factorization.

2420140140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2420140140 is about 49194.9198596766. The cubic root of 2420140140 is about 1342.6006041770.

Adding to 2420140140 its reverse (410410242), we get a palindrome (2830550382).

The spelling of 2420140140 in words is "two billion, four hundred twenty million, one hundred forty thousand, one hundred forty".