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84687660 = 22335315059
BaseRepresentation
bin1010000110000…
…11101100101100
312220100120122000
411003003230230
5133140001120
612223052300
72045555541
oct503035454
9186316560
1084687660
1143893102
1224441090
1314711c55
14b366bc8
15767c990
hex50c3b2c

84687660 has 96 divisors (see below), whose sum is σ = 272025600. Its totient is φ = 21850560.

The previous prime is 84687653. The next prime is 84687667. The reversal of 84687660 is 6678648.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84687653) and next prime (84687667).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84687667) 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, 14211 + ... + 19269.

It is an arithmetic number, because the mean of its divisors is an integer number (2833600).

Almost surely, 284687660 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 84687660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136012800).

84687660 is an abundant number, since it is smaller than the sum of its proper divisors (187337940).

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

84687660 is a wasteful number, since it uses less digits than its factorization.

84687660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5108 (or 5100 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 84687660 is about 9202.5898528621. The cubic root of 84687660 is about 439.1437549283.

The spelling of 84687660 in words is "eighty-four million, six hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5059 5580 8370 10118 15177 16740 20236 25295 30354 45531 50590 60708 75885 91062 101180 136593 151770 156829 182124 227655 273186 303540 313658 455310 470487 546372 627316 682965 784145 910620 940974 1365930 1411461 1568290 1881948 2352435 2731860 2822922 3136580 4234383 4704870 5645844 7057305 8468766 9409740 14114610 16937532 21171915 28229220 42343830 84687660