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104703984 = 243272111971
BaseRepresentation
bin1100011110110…
…10011111110000
321022000111212100
412033122133300
5203301011414
614220100400
72410653300
oct617323760
9238014770
10104703984
1154114720
122b094700
13188cc928
14dc97600
1592d3609
hex63da7f0

104703984 has 360 divisors, whose sum is σ = 396938880. Its totient is φ = 25401600.

The previous prime is 104703971. The next prime is 104703997. The reversal of 104703984 is 489307401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104703971) and next prime (104703997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1474669 + ... + 1474739.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 2104703984 is an apocalyptic number.

104703984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104703984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198469440).

104703984 is an abundant number, since it is smaller than the sum of its proper divisors (292234896).

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

104703984 is a wasteful number, since it uses less digits than its factorization.

104703984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 104703984 is about 10232.4964695816. The cubic root of 104703984 is about 471.3256433300.

The spelling of 104703984 in words is "one hundred four million, seven hundred three thousand, nine hundred eighty-four".