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2420414010 = 232573841927
BaseRepresentation
bin1001000001000100…
…1001011000111010
320020200102202211100
42100101021120322
514424111222020
61040101512230
7113660115420
oct22021113072
96220382740
102420414010
111032295963
12576712676
132c75b5651
1418d655110
15e2759a90
hex9044963a

2420414010 has 48 divisors (see below), whose sum is σ = 7192089216. Its totient is φ = 553237344.

The previous prime is 2420413991. The next prime is 2420414021. The reversal of 2420414010 is 104140242.

2420414010 is a `hidden beast` number, since 242 + 0 + 414 + 0 + 10 = 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 23 ways as a sum of consecutive naturals, for example, 1920334 + ... + 1921593.

It is an arithmetic number, because the mean of its divisors is an integer number (149835192).

Almost surely, 22420414010 is an apocalyptic number.

2420414010 is an abundant number, since it is smaller than the sum of its proper divisors (4771675206).

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

2420414010 is a wasteful number, since it uses less digits than its factorization.

2420414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841947 (or 3841944 counting only the distinct ones).

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

The square root of 2420414010 is about 49197.7033000525. The cubic root of 2420414010 is about 1342.6512464452.

Adding to 2420414010 its reverse (104140242), we get a palindrome (2524554252).

It can be divided in two parts, 242041 and 4010, that added together give a triangular number (246051 = T701).

The spelling of 2420414010 in words is "two billion, four hundred twenty million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 3841927 7683854 11525781 19209635 23051562 26893489 34577343 38419270 53786978 57628905 69154686 80680467 115257810 134467445 161360934 172886715 242041401 268934890 345773430 403402335 484082802 806804670 1210207005 2420414010