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84024216 = 23341271021
BaseRepresentation
bin1010000001000…
…01101110011000
312212002212120000
411000201232120
5133002233331
612200533000
72040123363
oct500415630
9185085500
1084024216
114347a701
1224181160
131453bc93
14b2330da
15759b0e6
hex5021b98

84024216 has 80 divisors (see below), whose sum is σ = 237431040. Its totient is φ = 27760320.

The previous prime is 84024191. The next prime is 84024233. The reversal of 84024216 is 61242048.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 84024216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81786 + ... + 82806.

It is an arithmetic number, because the mean of its divisors is an integer number (2967888).

Almost surely, 284024216 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 84024216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118715520).

84024216 is an abundant number, since it is smaller than the sum of its proper divisors (153406824).

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

84024216 is a wasteful number, since it uses less digits than its factorization.

84024216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84024216 is about 9166.4723858200. The cubic root of 84024216 is about 437.9939950387.

The spelling of 84024216 in words is "eighty-four million, twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1021 1143 1524 2042 2286 3048 3063 3429 4084 4572 6126 6858 8168 9144 9189 10287 12252 13716 18378 20574 24504 27432 27567 36756 41148 55134 73512 82296 82701 110268 129667 165402 220536 259334 330804 389001 518668 661608 778002 1037336 1167003 1556004 2334006 3112008 3501009 4668012 7002018 9336024 10503027 14004036 21006054 28008072 42012108 84024216