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2419843420 = 2251973831051
BaseRepresentation
bin1001000000111011…
…1110000101011100
320020122100210010101
42100032332011130
514423434442140
61040041350444
7113652221041
oct22016760534
96218323111
102419843420
111031a361a5
12576498424
132c7445a17
1418d5471c8
15e269599a
hex903be15c

2419843420 has 96 divisors (see below), whose sum is σ = 5492954880. Its totient is φ = 892684800.

The previous prime is 2419843379. The next prime is 2419843421. The reversal of 2419843420 is 243489142.

It is a self number, because there is not a number n which added to its sum of digits gives 2419843420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419843421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2301895 + ... + 2302945.

It is an arithmetic number, because the mean of its divisors is an integer number (57218280).

Almost surely, 22419843420 is an apocalyptic number.

2419843420 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 2419843420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746477440).

2419843420 is an abundant number, since it is smaller than the sum of its proper divisors (3073111460).

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

2419843420 is a wasteful number, since it uses less digits than its factorization.

2419843420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2419843420 is about 49191.9040086883. The cubic root of 2419843420 is about 1342.5457323224.

The spelling of 2419843420 in words is "two billion, four hundred nineteen million, eight hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 83 95 146 166 190 292 332 365 380 415 730 830 1051 1387 1460 1577 1660 2102 2774 3154 4204 5255 5548 6059 6308 6935 7885 10510 12118 13870 15770 19969 21020 24236 27740 30295 31540 39938 60590 76723 79876 87233 99845 115121 121180 153446 174466 199690 230242 306892 348932 383615 399380 436165 460484 575605 767230 872330 1151210 1457737 1534460 1657427 1744660 2302420 2915474 3314854 5830948 6368009 6629708 7288685 8287135 12736018 14577370 16574270 25472036 29154740 31840045 33148540 63680090 120992171 127360180 241984342 483968684 604960855 1209921710 2419843420