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1078603680 = 253572112379
BaseRepresentation
bin100000001001010…
…0010111110100000
32210011120202002110
41000102202332200
54202110304210
6255010115320
735504660100
oct10022427640
92704522073
101078603680
11503930a00
1226127bb40
131425cbb3b
14a336d200
1564a5b420
hex404a2fa0

1078603680 has 432 divisors, whose sum is σ = 4355739360. Its totient is φ = 223534080.

The previous prime is 1078603663. The next prime is 1078603693. The reversal of 1078603680 is 863068701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2845731 + ... + 2846109.

It is an arithmetic number, because the mean of its divisors is an integer number (10082730).

Almost surely, 21078603680 is an apocalyptic number.

1078603680 is a gapful number since it is divisible by the number (10) 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 1078603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177869680).

1078603680 is an abundant number, since it is smaller than the sum of its proper divisors (3277135680).

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

1078603680 is a wasteful number, since it uses less digits than its factorization.

1078603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1078603680 is about 32842.1022469634. The cubic root of 1078603680 is about 1025.5432155333.

The spelling of 1078603680 in words is "one billion, seventy-eight million, six hundred three thousand, six hundred eighty".