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2084429130 = 235721417979
BaseRepresentation
bin111110000111101…
…1101110101001010
312101021012222012220
41330033131311022
513232103213010
6542500314510
7102440232600
oct17417356512
95337188186
102084429130
1197a673503
124a20a2a36
13272ac8724
1415ab95870
15c2edd970
hex7c3ddd4a

2084429130 has 48 divisors (see below), whose sum is σ = 5819389920. Its totient is φ = 476440608.

The previous prime is 2084429111. The next prime is 2084429131. The reversal of 2084429130 is 319244802.

It is a junction number, because it is equal to n+sod(n) for n = 2084429091 and 2084429100.

It is not an unprimeable number, because it can be changed into a prime (2084429131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707520 + ... + 710459.

It is an arithmetic number, because the mean of its divisors is an integer number (121237290).

Almost surely, 22084429130 is an apocalyptic number.

2084429130 is an abundant number, since it is smaller than the sum of its proper divisors (3734960790).

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

2084429130 is a wasteful number, since it uses less digits than its factorization.

2084429130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418003 (or 1417996 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2084429130 is about 45655.5487317807. The cubic root of 2084429130 is about 1277.4062732263.

The spelling of 2084429130 in words is "two billion, eighty-four million, four hundred twenty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 1417979 2835958 4253937 7089895 8507874 9925853 14179790 19851706 21269685 29777559 42539370 49629265 59555118 69480971 99258530 138961942 148887795 208442913 297775590 347404855 416885826 694809710 1042214565 2084429130