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84298620 = 22357253541
BaseRepresentation
bin1010000011001…
…00101101111100
312212121210222010
411001210231330
5133040023440
612210451220
72042345400
oct501445574
9185553863
1084298620
114364788a
1224293b10
1314606b53
14b2a5100
157602580
hex5064b7c

84298620 has 144 divisors (see below), whose sum is σ = 280270368. Its totient is φ = 18869760.

The previous prime is 84298607. The next prime is 84298633. The reversal of 84298620 is 2689248.

84298620 is a nontrivial binomial coefficient, being equal to C(12985, 2).

It is an interprime number because it is at equal distance from previous prime (84298607) and next prime (84298633).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155550 + ... + 156090.

It is an arithmetic number, because the mean of its divisors is an integer number (1946322).

Almost surely, 284298620 is an apocalyptic number.

84298620 is the 12984-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84298620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140135184).

84298620 is an abundant number, since it is smaller than the sum of its proper divisors (195971748).

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

84298620 is a wasteful number, since it uses less digits than its factorization.

84298620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 84298620 is about 9181.4279935095. The cubic root of 84298620 is about 438.4702732356.

The spelling of 84298620 in words is "eighty-four million, two hundred ninety-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 53 60 70 84 98 105 106 140 147 159 196 210 212 245 265 294 318 371 420 490 530 541 588 636 735 742 795 980 1060 1082 1113 1470 1484 1590 1623 1855 2164 2226 2597 2705 2940 3180 3246 3710 3787 4452 5194 5410 5565 6492 7420 7574 7791 8115 10388 10820 11130 11361 12985 15148 15582 16230 18935 22260 22722 25970 26509 28673 31164 32460 37870 38955 45444 51940 53018 56805 57346 75740 77910 79527 86019 106036 113610 114692 132545 143365 155820 159054 172038 200711 227220 265090 286730 318108 344076 397635 401422 430095 530180 573460 602133 795270 802844 860190 1003555 1204266 1404977 1590540 1720380 2007110 2408532 2809954 3010665 4014220 4214931 5619908 6021330 7024885 8429862 12042660 14049770 16859724 21074655 28099540 42149310 84298620