Search a number
-
+
1078103520 = 253851379
BaseRepresentation
bin100000001000010…
…1000110111100000
32210010122100000000
41000100220313200
54201443303040
6254551300000
735500504644
oct10020506740
92703570000
101078103520
1150361a14a
1226107a600
131424852a0
14a327cc24
15649ad130
hex40428de0

1078103520 has 432 divisors, whose sum is σ = 4166285760. Its totient is φ = 262020096.

The previous prime is 1078103497. The next prime is 1078103549. The reversal of 1078103520 is 253018701.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13646841 + ... + 13646919.

It is an arithmetic number, because the mean of its divisors is an integer number (9644180).

Almost surely, 21078103520 is an apocalyptic number.

1078103520 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 1078103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083142880).

1078103520 is an abundant number, since it is smaller than the sum of its proper divisors (3088182240).

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

1078103520 is an frugal number, since it uses more digits than its factorization.

1078103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1078103520 is about 32834.4867479301. The cubic root of 1078103520 is about 1025.3846725921.

The spelling of 1078103520 in words is "one billion, seventy-eight million, one hundred three thousand, five hundred twenty".