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84103128 = 23323313529
BaseRepresentation
bin1010000001101…
…00111111011000
312212020212210200
411000310333120
5133012300003
612202342200
72040602424
oct500647730
9185225720
1084103128
1143523a1a
12241ba960
1314568b85
14b253b84
1575b46a3
hex5034fd8

84103128 has 48 divisors (see below), whose sum is σ = 228532200. Its totient is φ = 27941760.

The previous prime is 84103127. The next prime is 84103147. The reversal of 84103128 is 82130148.

It is a super-2 number, since 2×841031282 = 14146672278768768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84103127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22068 + ... + 25596.

Almost surely, 284103128 is an apocalyptic number.

It is an amenable number.

84103128 is an abundant number, since it is smaller than the sum of its proper divisors (144429072).

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

84103128 is a wasteful number, since it uses less digits than its factorization.

84103128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 84103128 is about 9170.7757578081. The cubic root of 84103128 is about 438.1310672995.

The spelling of 84103128 in words is "eighty-four million, one hundred three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 331 662 993 1324 1986 2648 2979 3529 3972 5958 7058 7944 10587 11916 14116 21174 23832 28232 31761 42348 63522 84696 127044 254088 1168099 2336198 3504297 4672396 7008594 9344792 10512891 14017188 21025782 28034376 42051564 84103128