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84035680 = 255659797
BaseRepresentation
bin1010000001001…
…00100001100000
312212010110021121
411000210201200
5133003120210
612201102024
72040201661
oct500444140
9185113247
1084035680
1143488283
1224187914
1314544271
14b237368
15759e6da
hex5024860

84035680 has 48 divisors (see below), whose sum is σ = 199085040. Its totient is φ = 33521152.

The previous prime is 84035639. The next prime is 84035681. The reversal of 84035680 is 8653048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84035681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105042 + ... + 105838.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 284035680 is an apocalyptic number.

84035680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84035680 is an abundant number, since it is smaller than the sum of its proper divisors (115049360).

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

84035680 is a wasteful number, since it uses less digits than its factorization.

84035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 84035680 is about 9167.0976868363. The cubic root of 84035680 is about 438.0139136410.

The spelling of 84035680 in words is "eighty-four million, thirty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 659 797 1318 1594 2636 3188 3295 3985 5272 6376 6590 7970 10544 12752 13180 15940 21088 25504 26360 31880 52720 63760 105440 127520 525223 1050446 2100892 2626115 4201784 5252230 8403568 10504460 16807136 21008920 42017840 84035680