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2420005940 = 2251111000027
BaseRepresentation
bin1001000000111110…
…0101110000110100
320020122200001001122
42100033211300310
514424010142230
61040045043112
7113653465622
oct22017456064
96218601048
102420005940
111032037310
12576556498
132c74a19a1
1418d58a512
15e26c8be5
hex903e5c34

2420005940 has 24 divisors (see below), whose sum is σ = 5544014112. Its totient is φ = 880002080.

The previous prime is 2420005937. The next prime is 2420005943. The reversal of 2420005940 is 495000242.

It is an interprime number because it is at equal distance from previous prime (2420005937) and next prime (2420005943).

2420005940 is a modest number, since divided by 5940 gives 2420 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420005943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5499794 + ... + 5500233.

It is an arithmetic number, because the mean of its divisors is an integer number (231000588).

Almost surely, 22420005940 is an apocalyptic number.

2420005940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420005940 is an abundant number, since it is smaller than the sum of its proper divisors (3124008172).

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

2420005940 is a wasteful number, since it uses less digits than its factorization.

2420005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000047 (or 11000045 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2420005940 is about 49193.5558787937. Note that the first 3 decimals coincide. The cubic root of 2420005940 is about 1342.5757873866.

The spelling of 2420005940 in words is "two billion, four hundred twenty million, five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 11000027 22000054 44000108 55000135 110000270 121000297 220000540 242000594 484001188 605001485 1210002970 2420005940