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1078216704 = 21133173137
BaseRepresentation
bin100000001000100…
…0100100000000000
32210010212002021000
41000101010200000
54202010413304
6254553532000
735501455635
oct10021044000
92703762230
101078216704
11503697194
12261114000
131424c4966
14a32ac18c
15649d1939
hex40444800

1078216704 has 384 divisors, whose sum is σ = 3585254400. Its totient is φ = 318504960.

The previous prime is 1078216691. The next prime is 1078216717. The reversal of 1078216704 is 4076128701.

It is an interprime number because it is at equal distance from previous prime (1078216691) and next prime (1078216717).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29140974 + ... + 29141010.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 21078216704 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 1078216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200).

1078216704 is an abundant number, since it is smaller than the sum of its proper divisors (2507037696).

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

1078216704 is a wasteful number, since it uses less digits than its factorization.

1078216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1078216704 is about 32836.2102563618. The cubic root of 1078216704 is about 1025.4205544517.

The spelling of 1078216704 in words is "one billion, seventy-eight million, two hundred sixteen thousand, seven hundred four".