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2420114004 = 22337112312653
BaseRepresentation
bin1001000001000000…
…0000001001010100
320020122212112022000
42100100000021110
514424022122004
61040051235300
7113654425650
oct22020001124
96218775260
102420114004
111032100520
125765a8b30
132c750bc29
1418d5b7a60
15e26eac39
hex90400254

2420114004 has 192 divisors, whose sum is σ = 8163348480. Its totient is φ = 601223040.

The previous prime is 2420113973. The next prime is 2420114017. The reversal of 2420114004 is 4004110242.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184942 + ... + 197594.

It is an arithmetic number, because the mean of its divisors is an integer number (42517440).

Almost surely, 22420114004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081674240).

2420114004 is an abundant number, since it is smaller than the sum of its proper divisors (5743234476).

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

2420114004 is a wasteful number, since it uses less digits than its factorization.

2420114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12707 (or 12699 counting only the distinct ones).

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

The square root of 2420114004 is about 49194.6542217750. The cubic root of 2420114004 is about 1342.5957710773.

Adding to 2420114004 its reverse (4004110242), we get a palindrome (6424224246).

The spelling of 2420114004 in words is "two billion, four hundred twenty million, one hundred fourteen thousand, four".